The number 31967
31967 is a composite number with 4 divisors. Its prime factorisation is 13 × 2459. Divisors (4): 1, 13, 2459, 31967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31967: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2459, the product of two primes.
- 2
31967 is composite. Its prime factorisation is
- 3
The divisors add up to 34440; without 31967 itself that is 2473, so 31967 is deficient (2473 is less than 31967). Euler's totient φ(31967) = 29496 numbers up to 31967 share no factor with it.
- 4
The digits of 31967 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31967 = 13 \times 2459 \]
31967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34440 |
| Euler totient φ(n) | 29496 |
| Square | 1021889089 |
| Cube | 32666728508063 |
| Square root | 178.793177 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1967 × |
31967 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and sixty-seven |
| Binary (base 2) | 111110011011111 |
| Octal (base 8) | 76337 |
| Hexadecimal (base 16) | 7CDF |
| Base 3 | 1121211222 |
| As time | 31967 seconds = 8 h 52 min 47 s |
Is 31967 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31967 a prime number?
No. 31967 = 13 × 2459, so it is divisible by 13.
What are the factors of 31967?
1, 13, 2459, 31967.
What is 31967 in binary?
111110011011111 (hexadecimal 7CDF, octal 76337).
What is the square root of 31967?
About 178.7932.
Is 31967 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 31967?
31967 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 2459, the product of two primes.