The number 57013
57013 is a composite number with 8 divisors. Its prime factorisation is 11 × 71 × 73. Divisors (8): 1, 11, 71, 73, 781, 803, 5183, 57013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57013 is composite. Its prime factorisation is
- 3
The divisors add up to 63936; without 57013 itself that is 6923, so 57013 is deficient (6923 is less than 57013). Euler's totient φ(57013) = 50400 numbers up to 57013 share no factor with it.
- 4
The digits of 57013 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57013 = 11 \times 71 \times 73 \]
57013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63936 |
| Euler totient φ(n) | 50400 |
| Square | 3250482169 |
| Cube | 185319739901197 |
| Square root | 238.773952 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7013 × |
57013 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and thirteen |
| Binary (base 2) | 1101111010110101 |
| Octal (base 8) | 157265 |
| Hexadecimal (base 16) | DEB5 |
| Base 3 | 2220012121 |
| As time | 57013 seconds = 15 h 50 min 13 s |
Is 57013 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57013 ÷ 11 = 5183) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57013 a prime number?
No. 57013 = 11 × 71 × 73, so it is divisible by 11.
What are the factors of 57013?
1, 11, 71, 73, 781, 803, 5183, 57013.
What is 57013 in binary?
1101111010110101 (hexadecimal DEB5, octal 157265).
What is the square root of 57013?
About 238.7740.
Is 57013 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 57013?
It is a composite number with 8 divisors.