The number 31672
31672 is a composite number with 16 divisors. Its prime factorisation is × 37 × 107. Divisors (16): 1, 2, 4, 8, 37, 74, 107, 148, 214, 296, 428, 856, 3959, 7918, 15836, 31672.
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How to work it out
- 1
31672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31672 is composite. Its prime factorisation is
- 3
The divisors add up to 61560; without 31672 itself that is 29888, so 31672 is deficient (29888 is less than 31672). Euler's totient φ(31672) = 15264 numbers up to 31672 share no factor with it.
- 4
The digits of 31672 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31672 = 2^{3} \times 37 \times 107 \]31672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61560 |
| Euler totient φ(n) | 15264 |
| Square | 1003115584 |
| Cube | 31770676776448 |
| Square root | 177.966289 (= 2√7918) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1672 × |
31672 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and seventy-two |
| Binary (base 2) | 111101110111000 |
| Octal (base 8) | 75670 |
| Hexadecimal (base 16) | 7BB8 |
| Base 3 | 1121110001 |
| As time | 31672 seconds = 8 h 47 min 52 s |
Is 31672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31672 ÷ 2 = 15836) | 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 (31672 ÷ 4 = 7918) | 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 4) | 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 (31672 ÷ 8 = 3959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | 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 31672 a prime number?
No. 31672 = × 37 × 107, so it is divisible by 2.
What are the factors of 31672?
1, 2, 4, 8, 37, 74, 107, 148, 214, 296, 428, 856, 3959, 7918, 15836, 31672.
What is 31672 in binary?
111101110111000 (hexadecimal 7BB8, octal 75670).
What is the square root of 31672?
About 177.9663, exactly 2√7918.
Is 31672 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31672?
It is a composite number with 16 divisors.