The number 31964
31964 is a composite number with 12 divisors. Its prime factorisation is × 61 × 131. Divisors (12): 1, 2, 4, 61, 122, 131, 244, 262, 524, 7991, 15982, 31964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31964 is composite. Its prime factorisation is
- 3
The divisors add up to 57288; without 31964 itself that is 25324, so 31964 is deficient (25324 is less than 31964). Euler's totient φ(31964) = 15600 numbers up to 31964 share no factor with it.
- 4
The digits of 31964 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31964 = 2^{2} \times 61 \times 131 \]31964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57288 |
| Euler totient φ(n) | 15600 |
| Square | 1021697296 |
| Cube | 32657532369344 |
| Square root | 178.784787 (= 2√7991) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1964 × |
31964 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and sixty-four |
| Binary (base 2) | 111110011011100 |
| Octal (base 8) | 76334 |
| Hexadecimal (base 16) | 7CDC |
| Base 3 | 1121211212 |
| As time | 31964 seconds = 8 h 52 min 44 s |
Is 31964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31964 ÷ 2 = 15982) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31964 ÷ 4 = 7991) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31964 a prime number?
No. 31964 = × 61 × 131, so it is divisible by 2.
What are the factors of 31964?
1, 2, 4, 61, 122, 131, 244, 262, 524, 7991, 15982, 31964.
What is 31964 in binary?
111110011011100 (hexadecimal 7CDC, octal 76334).
What is the square root of 31964?
About 178.7848, exactly 2√7991.
Is 31964 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 31964?
It is a composite number with 12 divisors.