The number 57501
57501 is a composite number with 6 divisors. Its prime factorisation is × 6389. Divisors (6): 1, 3, 9, 6389, 19167, 57501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57501: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57501 is composite. Its prime factorisation is
- 3
The divisors add up to 83070; without 57501 itself that is 25569, so 57501 is deficient (25569 is less than 57501). Euler's totient φ(57501) = 38328 numbers up to 57501 share no factor with it.
- 4
The digits of 57501 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57501 = 3^{2} \times 6389 \]57501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 83070 |
| Euler totient φ(n) | 38328 |
| Square | 3306365001 |
| Cube | 190119293922501 |
| Square root | 239.793661 (= 3√6389) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.7501 × |
57501 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand five hundred and one |
| Binary (base 2) | 1110000010011101 |
| Octal (base 8) | 160235 |
| Hexadecimal (base 16) | E09D |
| Base 3 | 2220212200 |
| As time | 57501 seconds = 15 h 58 min 21 s |
Is 57501 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 (57501 ÷ 3 = 19167) | 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 1) | 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 3) | 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 | Yes (57501 ÷ 9 = 6389) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 57501 a prime number?
No. 57501 = × 6389, so it is divisible by 3.
What are the factors of 57501?
1, 3, 9, 6389, 19167, 57501.
What is 57501 in binary?
1110000010011101 (hexadecimal E09D, octal 160235).
What is the square root of 57501?
About 239.7937, exactly 3√6389.
Is 57501 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57501?
57501 is a happy number: repeatedly adding the squares of its digits reaches 1.