The number 31564
31564 is a composite number with 12 divisors. Its prime factorisation is × 13 × 607. Divisors (12): 1, 2, 4, 13, 26, 52, 607, 1214, 2428, 7891, 15782, 31564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31564 is composite. Its prime factorisation is
- 3
The divisors add up to 59584; without 31564 itself that is 28020, so 31564 is deficient (28020 is less than 31564). Euler's totient φ(31564) = 14544 numbers up to 31564 share no factor with it.
- 4
The digits of 31564 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31564 = 2^{2} \times 13 \times 607 \]31564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59584 |
| Euler totient φ(n) | 14544 |
| Square | 996286096 |
| Cube | 31446774334144 |
| Square root | 177.662602 (= 2√7891) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1564 × |
31564 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand five hundred and sixty-four |
| Binary (base 2) | 111101101001100 |
| Octal (base 8) | 75514 |
| Hexadecimal (base 16) | 7B4C |
| Base 3 | 1121022001 |
| As time | 31564 seconds = 8 h 46 min 4 s |
Is 31564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31564 ÷ 2 = 15782) | 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 (31564 ÷ 4 = 7891) | 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 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 31564 a prime number?
No. 31564 = × 13 × 607, so it is divisible by 2.
What are the factors of 31564?
1, 2, 4, 13, 26, 52, 607, 1214, 2428, 7891, 15782, 31564.
What is 31564 in binary?
111101101001100 (hexadecimal 7B4C, octal 75514).
What is the square root of 31564?
About 177.6626, exactly 2√7891.
Is 31564 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31564?
It is a composite number with 12 divisors.