The number 71244
71244 is a composite number with 18 divisors. Its prime factorisation is × × 1979. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1979, 3958, 5937, 7916, 11874, 17811, 23748 … 71244.
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How to work it out
- 1
What is special about 71244: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
71244 is composite. Its prime factorisation is
- 3
The divisors add up to 180180; without 71244 itself that is 108936, so 71244 is abundant (108936 is more than 71244). Euler's totient φ(71244) = 23736 numbers up to 71244 share no factor with it.
- 4
The digits of 71244 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71244 = 2^{2} \times 3^{2} \times 1979 \]71244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 180180 |
| Euler totient φ(n) | 23736 |
| Square | 5075707536 |
| Cube | 361613707694784 |
| Square root | 266.915717 (= 6√1979) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1244 × |
71244 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred and forty-four |
| Binary (base 2) | 10001011001001100 |
| Octal (base 8) | 213114 |
| Hexadecimal (base 16) | 1164C |
| Base 3 | 10121201200 |
| As time | 71244 seconds = 19 h 47 min 24 s |
Is 71244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71244 ÷ 2 = 35622) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71244 ÷ 3 = 23748) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71244 ÷ 4 = 17811) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71244 ÷ 6 = 11874) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71244 ÷ 9 = 7916) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71244 ÷ 12 = 5937) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71244 a prime number?
No. 71244 = × × 1979, so it is divisible by 2.
What are the factors of 71244?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1979, 3958, 5937, 7916, 11874, 17811, 23748, 35622, 71244.
What is 71244 in binary?
10001011001001100 (hexadecimal 1164C, octal 213114).
What is the square root of 71244?
About 266.9157, exactly 6√1979.
Is 71244 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71244?
71244 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.