The number 31376
31376 is a composite number with 20 divisors. Its prime factorisation is × 37 × 53. Divisors (20): 1, 2, 4, 8, 16, 37, 53, 74, 106, 148, 212, 296, 424, 592, 848, 1961 … 31376.
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How to work it out
- 1
31376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31376 is composite. Its prime factorisation is
- 3
The divisors add up to 63612; without 31376 itself that is 32236, so 31376 is abundant (32236 is more than 31376). Euler's totient φ(31376) = 14976 numbers up to 31376 share no factor with it.
- 4
The digits of 31376 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31376 = 2^{4} \times 37 \times 53 \]31376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 63612 |
| Euler totient φ(n) | 14976 |
| Square | 984453376 |
| Cube | 30888209125376 |
| Square root | 177.132719 (= 4√1961) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.1376 × |
31376 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventy-six |
| Binary (base 2) | 111101010010000 |
| Octal (base 8) | 75220 |
| Hexadecimal (base 16) | 7A90 |
| Base 3 | 1121001002 |
| As time | 31376 seconds = 8 h 42 min 56 s |
Is 31376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31376 ÷ 2 = 15688) | 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 | Yes (31376 ÷ 4 = 7844) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (31376 ÷ 8 = 3922) | 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 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31376 a prime number?
No. 31376 = × 37 × 53, so it is divisible by 2.
What are the factors of 31376?
1, 2, 4, 8, 16, 37, 53, 74, 106, 148, 212, 296, 424, 592, 848, 1961, 3922, 7844, 15688, 31376.
What is 31376 in binary?
111101010010000 (hexadecimal 7A90, octal 75220).
What is the square root of 31376?
About 177.1327, exactly 4√1961.
Is 31376 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31376?
It is a composite number with 20 divisors.