The number 31372
31372 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 31. Divisors (24): 1, 2, 4, 11, 22, 23, 31, 44, 46, 62, 92, 124, 253, 341, 506, 682 … 31372.
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How to work it out
- 1
31372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31372 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 31372 itself that is 33140, so 31372 is abundant (33140 is more than 31372). Euler's totient φ(31372) = 13200 numbers up to 31372 share no factor with it.
- 4
The digits of 31372 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31372 = 2^{2} \times 11 \times 23 \times 31 \]31372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 13200 |
| Square | 984202384 |
| Cube | 30876397190848 |
| Square root | 177.121427 (= 2√7843) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1372 × |
31372 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventy-two |
| Binary (base 2) | 111101010001100 |
| Octal (base 8) | 75214 |
| Hexadecimal (base 16) | 7A8C |
| Base 3 | 1121000221 |
| As time | 31372 seconds = 8 h 42 min 52 s |
Is 31372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31372 ÷ 2 = 15686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31372 ÷ 4 = 7843) | 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 | No (remainder 4) | 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 | No (remainder 7) | 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 | Yes (31372 ÷ 11 = 2852) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31372 a prime number?
No. 31372 = × 11 × 23 × 31, so it is divisible by 2.
What are the factors of 31372?
1, 2, 4, 11, 22, 23, 31, 44, 46, 62, 92, 124, 253, 341, 506, 682, 713, 1012, 1364, 1426, 2852, 7843, 15686, 31372.
What is 31372 in binary?
111101010001100 (hexadecimal 7A8C, octal 75214).
What is the square root of 31372?
About 177.1214, exactly 2√7843.
Is 31372 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31372?
It is a composite number with 24 divisors.