The number 31272
31272 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1303. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1303, 2606, 3909, 5212, 7818, 10424, 15636, 31272.
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How to work it out
- 1
31272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31272 is composite. Its prime factorisation is
- 3
The divisors add up to 78240; without 31272 itself that is 46968, so 31272 is abundant (46968 is more than 31272). Euler's totient φ(31272) = 10416 numbers up to 31272 share no factor with it.
- 4
The digits of 31272 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31272 = 2^{3} \times 3 \times 1303 \]31272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78240 |
| Euler totient φ(n) | 10416 |
| Square | 977937984 |
| Cube | 30582076635648 |
| Square root | 176.838910 (= 2√7818) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1272 × |
31272 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and seventy-two |
| Binary (base 2) | 111101000101000 |
| Octal (base 8) | 75050 |
| Hexadecimal (base 16) | 7A28 |
| Base 3 | 1120220020 |
| As time | 31272 seconds = 8 h 41 min 12 s |
Is 31272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31272 ÷ 2 = 15636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31272 ÷ 3 = 10424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31272 ÷ 4 = 7818) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31272 ÷ 6 = 5212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (31272 ÷ 8 = 3909) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31272 ÷ 12 = 2606) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31272 a prime number?
No. 31272 = × 3 × 1303, so it is divisible by 2.
What are the factors of 31272?
1, 2, 3, 4, 6, 8, 12, 24, 1303, 2606, 3909, 5212, 7818, 10424, 15636, 31272.
What is 31272 in binary?
111101000101000 (hexadecimal 7A28, octal 75050).
What is the square root of 31272?
About 176.8389, exactly 2√7818.
Is 31272 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 31272?
It is a composite number with 16 divisors.