The number 31331
31331 is a composite number with 8 divisors. Its prime factorisation is 17 × 19 × 97. Divisors (8): 1, 17, 19, 97, 323, 1649, 1843, 31331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31331 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31331 is composite. Its prime factorisation is
- 3
The divisors add up to 35280; without 31331 itself that is 3949, so 31331 is deficient (3949 is less than 31331). Euler's totient φ(31331) = 27648 numbers up to 31331 share no factor with it.
- 4
The digits of 31331 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31331 = 17 \times 19 \times 97 \]
31331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 35280 |
| Euler totient φ(n) | 27648 |
| Square | 981631561 |
| Cube | 30755498437691 |
| Square root | 177.005650 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.1331 × |
31331 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty-one |
| Binary (base 2) | 111101001100011 |
| Octal (base 8) | 75143 |
| Hexadecimal (base 16) | 7A63 |
| Base 3 | 1120222102 |
| As time | 31331 seconds = 8 h 42 min 11 s |
Is 31331 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 1) | 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 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 31331 a prime number?
No. 31331 = 17 × 19 × 97, so it is divisible by 17.
What are the factors of 31331?
1, 17, 19, 97, 323, 1649, 1843, 31331.
What is 31331 in binary?
111101001100011 (hexadecimal 7A63, octal 75143).
What is the square root of 31331?
About 177.0056.
Is 31331 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31331?
It is a composite number with 8 divisors.