The number 31360
31360 is a composite number with 48 divisors. Its prime factorisation is × 5 × . Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56 … 31360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31360 is composite. Its prime factorisation is
- 3
The divisors add up to 87210; without 31360 itself that is 55850, so 31360 is abundant (55850 is more than 31360). Euler's totient φ(31360) = 10752 numbers up to 31360 share no factor with it.
- 4
The digits of 31360 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31360 = 2^{7} \times 5 \times 7^{2} \]31360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 87210 |
| Euler totient φ(n) | 10752 |
| Square | 983449600 |
| Cube | 30840979456000 |
| Square root | 177.087549 (= 56√10) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.136 × |
31360 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and sixty |
| Binary (base 2) | 111101010000000 |
| Octal (base 8) | 75200 |
| Hexadecimal (base 16) | 7A80 |
| Base 3 | 1121000111 |
| As time | 31360 seconds = 8 h 42 min 40 s |
Is 31360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31360 ÷ 2 = 15680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31360 ÷ 4 = 7840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31360 ÷ 5 = 6272) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (31360 ÷ 7 = 4480) | 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 | Yes (31360 ÷ 8 = 3920) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31360 ÷ 10 = 3136) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31360 a prime number?
No. 31360 = × 5 × , so it is divisible by 2.
What are the factors of 31360?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 64, 70, 80, 98, 112, 128, 140, 160, 196, 224, 245, 280, 320, 392, 448, 490, 560, 640, 784, 896, 980, 1120, 1568, 1960, 2240, 3136, 3920, 4480, 6272, 7840, 15680, 31360.
What is 31360 in binary?
111101010000000 (hexadecimal 7A80, octal 75200).
What is the square root of 31360?
About 177.0875, exactly 56√10.
Is 31360 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 31360?
It is a composite number with 48 divisors.