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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Enter any Number :135\n",
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"Number of Digits are: 3\n",
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"Sum of cube of digits is: 135\n",
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"Its a Dasarium Number\n"
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]
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}
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],
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"source": [
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"import math\n",
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"num=int(input(\"Enter any Number :\" ))\n",
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"temp=num\n",
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"temp1=num\n",
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"counter=0\n",
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"sum=0\n",
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"while(temp>0):\n",
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" d=temp%10\n",
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" counter+=1\n",
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" temp=temp//10\n",
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"print(\"Number of Digits are: \",counter)\n",
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"while(temp1>0):\n",
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" d=temp1%10\n",
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" sum = sum+int(math.pow(d,counter))\n",
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" counter-=1\n",
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" temp1=temp1//10\n",
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"print(\"Sum of cube of digits is: \",sum)\n",
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"if (sum==num):\n",
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" print(\"Its a Dasarium Number\")\n",
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"else:\n",
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" print(\"Its not a Dasarium Number\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 19,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Disarium numbers between 1 and 100 are\n",
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"1 2 3 4 5 6 7 8 9 89 "
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]
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}
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],
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"source": [
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"def checkLength(n): \n",
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" length = 0; \n",
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" while(n != 0): \n",
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" length = length + 1; \n",
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" n = n//10; \n",
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" return length; \n",
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"def sumOfnPowerDigits(num): \n",
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" rem = sum = 0; \n",
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" len = checkLength(num); \n",
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" while(num > 0): \n",
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" rem = num%10; \n",
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" sum = sum +int(math.pow(rem,len)) ; \n",
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" num = num//10; \n",
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" len = len - 1; \n",
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" return sum; \n",
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"result = 0; \n",
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"print(\"Disarium numbers between 1 and 100 are\"); \n",
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"for i in range(1, 101): \n",
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" result = sumOfnPowerDigits(i); \n",
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" if(result == i): \n",
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" print(i,end=\" \") "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 25,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Enter any Number :31\n",
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"31 is Happy Number\n"
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]
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}
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],
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"source": [
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"def sqsum(num):\n",
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" res=0\n",
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" rem=0\n",
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" while(num>0):\n",
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" rem = num%10\n",
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" res=res+rem**2 \n",
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" num=num//10\n",
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" return res\n",
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"integer=int(input(\"Enter any Number :\" ))\n",
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"result=integer\n",
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"while result!=1 and result!=4:\n",
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" result=sqsum(result)\n",
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"if result==1:\n",
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" print(n,\"is Happy Number\")\n",
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"else:\n",
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" print(n,\"is not a Happy Number\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 27,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"List of happy numbers between 1 and 100: \n",
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"1 7 10 13 19 23 28 31 32 44 49 68 70 79 82 86 91 94 97 100 "
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]
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}
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],
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"source": [
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"#isHappyNumber() will determine whether a number is happy or not \n",
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"def isHappyNumber(num): \n",
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" rem = sum = 0; \n",
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"#Calculates the sum of squares of digits \n",
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" while(num > 0): \n",
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" rem = num%10; \n",
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" sum = sum + (rem*rem); \n",
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" num = num//10; \n",
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" return sum; \n",
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"#Displays all happy numbers between 1 and 100 \n",
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"print(\"List of happy numbers between 1 and 100: \"); \n",
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"for i in range(1, 101): \n",
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" result = i; \n",
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"#Happy number always ends with 1 and \n",
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"#unhappy number ends in a cycle of repeating numbers which contains 4 \n",
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" while(result != 1 and result != 4): \n",
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" result = isHappyNumber(result); \n",
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" if(result == 1): \n",
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" print(i,end=\" \"), \n",
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" "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 28,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"156 is a harshad number\n"
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]
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}
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],
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"source": [
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"num = 156; \n",
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"rem = sum = 0; \n",
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"n = num; \n",
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"while(num > 0): \n",
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" rem = num%10; \n",
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" sum = sum + rem; \n",
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" num = num//10; \n",
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"if(n%sum == 0): \n",
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" print(str(n) + \" is a harshad number\"); \n",
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"else: \n",
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" print(str(n) + \" is not a harshad number\"); "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 30,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Pronic numbers between 1 and 100: \n",
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"2 6 12 20 30 42 56 72 90 "
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]
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}
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],
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"source": [
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"#isPronicNumber() will determine whether a given number is a pronic number or not \n",
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"def isPronicNumber(num): \n",
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" flag = False; \n",
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" for p in range(1, num+1): \n",
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" if((p*(p+1)) == num): \n",
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" flag = True; \n",
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" break; \n",
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" return flag; \n",
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"print(\"Pronic numbers between 1 and 100: \"); \n",
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"for i in range(1, 101): \n",
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" if(isPronicNumber(i)): \n",
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" print(i,end=\" \"), "
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.6.9"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 4
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}

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