The number 57135
57135 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 293. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 293, 879, 1465, 3809, 4395, 11427, 19045, 57135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57135: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57135 is composite. Its prime factorisation is
- 3
The divisors add up to 98784; without 57135 itself that is 41649, so 57135 is deficient (41649 is less than 57135). Euler's totient φ(57135) = 28032 numbers up to 57135 share no factor with it.
- 4
The digits of 57135 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57135 = 3 \times 5 \times 13 \times 293 \]
57135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98784 |
| Euler totient φ(n) | 28032 |
| Square | 3264408225 |
| Cube | 186511963935375 |
| Square root | 239.029287 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7135 × |
57135 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and thirty-five |
| Binary (base 2) | 1101111100101111 |
| Octal (base 8) | 157457 |
| Hexadecimal (base 16) | DF2F |
| Base 3 | 2220101010 |
| As time | 57135 seconds = 15 h 52 min 15 s |
Is 57135 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 (57135 ÷ 3 = 19045) | 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 | Yes (57135 ÷ 5 = 11427) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 57135 a prime number?
No. 57135 = 3 × 5 × 13 × 293, so it is divisible by 3.
What are the factors of 57135?
1, 3, 5, 13, 15, 39, 65, 195, 293, 879, 1465, 3809, 4395, 11427, 19045, 57135.
What is 57135 in binary?
1101111100101111 (hexadecimal DF2F, octal 157457).
What is the square root of 57135?
About 239.0293.
Is 57135 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57135?
57135 is a happy number: repeatedly adding the squares of its digits reaches 1.