The number 31064
31064 is a composite number with 16 divisors. Its prime factorisation is × 11 × 353. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 353, 706, 1412, 2824, 3883, 7766, 15532, 31064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31064 is composite. Its prime factorisation is
- 3
The divisors add up to 63720; without 31064 itself that is 32656, so 31064 is abundant (32656 is more than 31064). Euler's totient φ(31064) = 14080 numbers up to 31064 share no factor with it.
- 4
The digits of 31064 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31064 = 2^{3} \times 11 \times 353 \]31064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63720 |
| Euler totient φ(n) | 14080 |
| Square | 964972096 |
| Cube | 29975893190144 |
| Square root | 176.249823 (= 2√7766) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1064 × |
31064 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and sixty-four |
| Binary (base 2) | 111100101011000 |
| Octal (base 8) | 74530 |
| Hexadecimal (base 16) | 7958 |
| Base 3 | 1120121112 |
| As time | 31064 seconds = 8 h 37 min 44 s |
Is 31064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31064 ÷ 2 = 15532) | 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 (31064 ÷ 4 = 7766) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 (31064 ÷ 8 = 3883) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31064 ÷ 11 = 2824) | 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 31064 a prime number?
No. 31064 = × 11 × 353, so it is divisible by 2.
What are the factors of 31064?
1, 2, 4, 8, 11, 22, 44, 88, 353, 706, 1412, 2824, 3883, 7766, 15532, 31064.
What is 31064 in binary?
111100101011000 (hexadecimal 7958, octal 74530).
What is the square root of 31064?
About 176.2498, exactly 2√7766.
Is 31064 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31064?
It is a composite number with 16 divisors.