The number 31941
31941 is a composite number with 24 divisors. Its prime factorisation is × 7 × . Divisors (24): 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 169, 189, 273, 351, 507 … 31941.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31941 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31941 is composite. Its prime factorisation is
- 3
The divisors add up to 58560; without 31941 itself that is 26619, so 31941 is deficient (26619 is less than 31941). Euler's totient φ(31941) = 16848 numbers up to 31941 share no factor with it.
- 4
The digits of 31941 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31941 = 3^{3} \times 7 \times 13^{2} \]31941 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 58560 |
| Euler totient φ(n) | 16848 |
| Square | 1020227481 |
| Cube | 32587085970621 |
| Square root | 178.720452 (= 39√21) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1941 × |
31941 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and forty-one |
| Binary (base 2) | 111110011000101 |
| Octal (base 8) | 76305 |
| Hexadecimal (base 16) | 7CC5 |
| Base 3 | 1121211000 |
| As time | 31941 seconds = 8 h 52 min 21 s |
Is 31941 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31941 ÷ 3 = 10647) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31941 ÷ 7 = 4563) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31941 ÷ 9 = 3549) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31941 a prime number?
No. 31941 = × 7 × , so it is divisible by 3.
What are the factors of 31941?
1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 169, 189, 273, 351, 507, 819, 1183, 1521, 2457, 3549, 4563, 10647, 31941.
What is 31941 in binary?
111110011000101 (hexadecimal 7CC5, octal 76305).
What is the square root of 31941?
About 178.7205, exactly 39√21.
Is 31941 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 31941?
It is a composite number with 24 divisors.