The number 57664
57664 is a composite number with 28 divisors. Its prime factorisation is × 17 × 53. Divisors (28): 1, 2, 4, 8, 16, 17, 32, 34, 53, 64, 68, 106, 136, 212, 272, 424 … 57664.
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How to work it out
- 1
57664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57664 is composite. Its prime factorisation is
- 3
The divisors add up to 123444; without 57664 itself that is 65780, so 57664 is abundant (65780 is more than 57664). Euler's totient φ(57664) = 26624 numbers up to 57664 share no factor with it.
- 4
The digits of 57664 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57664 = 2^{6} \times 17 \times 53 \]57664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 123444 |
| Euler totient φ(n) | 26624 |
| Square | 3325136896 |
| Cube | 191740693970944 |
| Square root | 240.133296 (= 8√901) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.7664 × |
57664 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand six hundred and sixty-four |
| Binary (base 2) | 1110000101000000 |
| Octal (base 8) | 160500 |
| Hexadecimal (base 16) | E140 |
| Base 3 | 2221002201 |
| As time | 57664 seconds = 16 h 1 min 4 s |
Is 57664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57664 ÷ 2 = 28832) | 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 (57664 ÷ 4 = 14416) | 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 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 (57664 ÷ 8 = 7208) | 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 2) | 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 57664 a prime number?
No. 57664 = × 17 × 53, so it is divisible by 2.
What are the factors of 57664?
1, 2, 4, 8, 16, 17, 32, 34, 53, 64, 68, 106, 136, 212, 272, 424, 544, 848, 901, 1088, 1696, 1802, 3392, 3604, 7208, 14416, 28832, 57664.
What is 57664 in binary?
1110000101000000 (hexadecimal E140, octal 160500).
What is the square root of 57664?
About 240.1333, exactly 8√901.
Is 57664 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57664?
It is a composite number with 28 divisors.