The number 57513
57513 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 1009. Divisors (8): 1, 3, 19, 57, 1009, 3027, 19171, 57513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57513: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57513 is composite. Its prime factorisation is
- 3
The divisors add up to 80800; without 57513 itself that is 23287, so 57513 is deficient (23287 is less than 57513). Euler's totient φ(57513) = 36288 numbers up to 57513 share no factor with it.
- 4
The digits of 57513 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57513 = 3 \times 19 \times 1009 \]
57513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80800 |
| Euler totient φ(n) | 36288 |
| Square | 3307745169 |
| Cube | 190238347904697 |
| Square root | 239.818682 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.7513 × |
57513 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand five hundred and thirteen |
| Binary (base 2) | 1110000010101001 |
| Octal (base 8) | 160251 |
| Hexadecimal (base 16) | E0A9 |
| Base 3 | 2220220010 |
| As time | 57513 seconds = 15 h 58 min 33 s |
Is 57513 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 (57513 ÷ 3 = 19171) | 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 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 1) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57513 a prime number?
No. 57513 = 3 × 19 × 1009, so it is divisible by 3.
What are the factors of 57513?
1, 3, 19, 57, 1009, 3027, 19171, 57513.
What is 57513 in binary?
1110000010101001 (hexadecimal E0A9, octal 160251).
What is the square root of 57513?
About 239.8187.
Is 57513 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57513?
57513 is a happy number: repeatedly adding the squares of its digits reaches 1.