The number 57159
57159 is a composite number with 16 divisors. Its prime factorisation is × 29 × 73. Divisors (16): 1, 3, 9, 27, 29, 73, 87, 219, 261, 657, 783, 1971, 2117, 6351, 19053, 57159.
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How to work it out
- 1
What is special about 57159: a Harshad number: divisible by its digit sum 27.
- 2
57159 is composite. Its prime factorisation is
- 3
The divisors add up to 88800; without 57159 itself that is 31641, so 57159 is deficient (31641 is less than 57159). Euler's totient φ(57159) = 36288 numbers up to 57159 share no factor with it.
- 4
The digits of 57159 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57159 = 3^{3} \times 29 \times 73 \]57159 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88800 |
| Euler totient φ(n) | 36288 |
| Square | 3267151281 |
| Cube | 186747100070679 |
| Square root | 239.079485 (= 3√6351) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7159 × |
57159 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and fifty-nine |
| Binary (base 2) | 1101111101000111 |
| Octal (base 8) | 157507 |
| Hexadecimal (base 16) | DF47 |
| Base 3 | 2220102000 |
| As time | 57159 seconds = 15 h 52 min 39 s |
Is 57159 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57159 ÷ 3 = 19053) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57159 ÷ 9 = 6351) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57159 a prime number?
No. 57159 = × 29 × 73, so it is divisible by 3.
What are the factors of 57159?
1, 3, 9, 27, 29, 73, 87, 219, 261, 657, 783, 1971, 2117, 6351, 19053, 57159.
What is 57159 in binary?
1101111101000111 (hexadecimal DF47, octal 157507).
What is the square root of 57159?
About 239.0795, exactly 3√6351.
Is 57159 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57159?
57159 is a Harshad number: divisible by its digit sum 27.