The number 31310
31310 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 31 × 101. Divisors (16): 1, 2, 5, 10, 31, 62, 101, 155, 202, 310, 505, 1010, 3131, 6262, 15655, 31310.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31310 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31310 is composite. Its prime factorisation is
- 3
The divisors add up to 58752; without 31310 itself that is 27442, so 31310 is deficient (27442 is less than 31310). Euler's totient φ(31310) = 12000 numbers up to 31310 share no factor with it.
- 4
The digits of 31310 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31310 = 2 \times 5 \times 31 \times 101 \]
31310 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58752 |
| Euler totient φ(n) | 12000 |
| Square | 980316100 |
| Cube | 30693697091000 |
| Square root | 176.946320 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.131 × |
31310 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and ten |
| Binary (base 2) | 111101001001110 |
| Octal (base 8) | 75116 |
| Hexadecimal (base 16) | 7A4E |
| Base 3 | 1120221122 |
| As time | 31310 seconds = 8 h 41 min 50 s |
Is 31310 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31310 ÷ 2 = 15655) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31310 ÷ 5 = 6262) | 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 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 6) | 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 | Yes (31310 ÷ 10 = 3131) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31310 a prime number?
No. 31310 = 2 × 5 × 31 × 101, so it is divisible by 2.
What are the factors of 31310?
1, 2, 5, 10, 31, 62, 101, 155, 202, 310, 505, 1010, 3131, 6262, 15655, 31310.
What is 31310 in binary?
111101001001110 (hexadecimal 7A4E, octal 75116).
What is the square root of 31310?
About 176.9463.
Is 31310 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 31310?
It is a composite number with 16 divisors.