The number 31368
31368 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1307. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1307, 2614, 3921, 5228, 7842, 10456, 15684, 31368.
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How to work it out
- 1
31368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31368 is composite. Its prime factorisation is
- 3
The divisors add up to 78480; without 31368 itself that is 47112, so 31368 is abundant (47112 is more than 31368). Euler's totient φ(31368) = 10448 numbers up to 31368 share no factor with it.
- 4
The digits of 31368 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31368 = 2^{3} \times 3 \times 1307 \]31368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78480 |
| Euler totient φ(n) | 10448 |
| Square | 983951424 |
| Cube | 30864588268032 |
| Square root | 177.110135 (= 2√7842) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1368 × |
31368 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and sixty-eight |
| Binary (base 2) | 111101010001000 |
| Octal (base 8) | 75210 |
| Hexadecimal (base 16) | 7A88 |
| Base 3 | 1121000210 |
| As time | 31368 seconds = 8 h 42 min 48 s |
Is 31368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31368 ÷ 2 = 15684) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31368 ÷ 3 = 10456) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31368 ÷ 4 = 7842) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31368 ÷ 6 = 5228) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (31368 ÷ 8 = 3921) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (31368 ÷ 12 = 2614) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31368 a prime number?
No. 31368 = × 3 × 1307, so it is divisible by 2.
What are the factors of 31368?
1, 2, 3, 4, 6, 8, 12, 24, 1307, 2614, 3921, 5228, 7842, 10456, 15684, 31368.
What is 31368 in binary?
111101010001000 (hexadecimal 7A88, octal 75210).
What is the square root of 31368?
About 177.1101, exactly 2√7842.
Is 31368 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 31368?
It is a composite number with 16 divisors.