The number 31312
31312 is a composite number with 20 divisors. Its prime factorisation is × 19 × 103. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957 … 31312.
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How to work it out
- 1
31312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31312 is composite. Its prime factorisation is
- 3
The divisors add up to 64480; without 31312 itself that is 33168, so 31312 is abundant (33168 is more than 31312). Euler's totient φ(31312) = 14688 numbers up to 31312 share no factor with it.
- 4
The digits of 31312 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31312 = 2^{4} \times 19 \times 103 \]31312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 64480 |
| Euler totient φ(n) | 14688 |
| Square | 980441344 |
| Cube | 30699579363328 |
| Square root | 176.951971 (= 4√1957) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1312 × |
31312 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and twelve |
| Binary (base 2) | 111101001010000 |
| Octal (base 8) | 75120 |
| Hexadecimal (base 16) | 7A50 |
| Base 3 | 1120221201 |
| As time | 31312 seconds = 8 h 41 min 52 s |
Is 31312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31312 ÷ 2 = 15656) | 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 (31312 ÷ 4 = 7828) | 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 4) | 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 (31312 ÷ 8 = 3914) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 31312 a prime number?
No. 31312 = × 19 × 103, so it is divisible by 2.
What are the factors of 31312?
1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957, 3914, 7828, 15656, 31312.
What is 31312 in binary?
111101001010000 (hexadecimal 7A50, octal 75120).
What is the square root of 31312?
About 176.9520, exactly 4√1957.
Is 31312 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31312?
It is a composite number with 20 divisors.