The number 31924
31924 is a composite number with 12 divisors. Its prime factorisation is × 23 × 347. Divisors (12): 1, 2, 4, 23, 46, 92, 347, 694, 1388, 7981, 15962, 31924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31924 is composite. Its prime factorisation is
- 3
The divisors add up to 58464; without 31924 itself that is 26540, so 31924 is deficient (26540 is less than 31924). Euler's totient φ(31924) = 15224 numbers up to 31924 share no factor with it.
- 4
The digits of 31924 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31924 = 2^{2} \times 23 \times 347 \]31924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58464 |
| Euler totient φ(n) | 15224 |
| Square | 1019141776 |
| Cube | 32535082057024 |
| Square root | 178.672885 (= 2√7981) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1924 × |
31924 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and twenty-four |
| Binary (base 2) | 111110010110100 |
| Octal (base 8) | 76264 |
| Hexadecimal (base 16) | 7CB4 |
| Base 3 | 1121210101 |
| As time | 31924 seconds = 8 h 52 min 4 s |
Is 31924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31924 ÷ 2 = 15962) | 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 (31924 ÷ 4 = 7981) | 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 | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 31924 a prime number?
No. 31924 = × 23 × 347, so it is divisible by 2.
What are the factors of 31924?
1, 2, 4, 23, 46, 92, 347, 694, 1388, 7981, 15962, 31924.
What is 31924 in binary?
111110010110100 (hexadecimal 7CB4, octal 76264).
What is the square root of 31924?
About 178.6729, exactly 2√7981.
Is 31924 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31924?
It is a composite number with 12 divisors.