The number 57201
57201 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 829. Divisors (8): 1, 3, 23, 69, 829, 2487, 19067, 57201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57201: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57201 is composite. Its prime factorisation is
- 3
The divisors add up to 79680; without 57201 itself that is 22479, so 57201 is deficient (22479 is less than 57201). Euler's totient φ(57201) = 36432 numbers up to 57201 share no factor with it.
- 4
The digits of 57201 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57201 = 3 \times 23 \times 829 \]
57201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79680 |
| Euler totient φ(n) | 36432 |
| Square | 3271954401 |
| Cube | 187159063691601 |
| Square root | 239.167305 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7201 × |
57201 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred and one |
| Binary (base 2) | 1101111101110001 |
| Octal (base 8) | 157561 |
| Hexadecimal (base 16) | DF71 |
| Base 3 | 2220110120 |
| As time | 57201 seconds = 15 h 53 min 21 s |
Is 57201 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 (57201 ÷ 3 = 19067) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | 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 57201 a prime number?
No. 57201 = 3 × 23 × 829, so it is divisible by 3.
What are the factors of 57201?
1, 3, 23, 69, 829, 2487, 19067, 57201.
What is 57201 in binary?
1101111101110001 (hexadecimal DF71, octal 157561).
What is the square root of 57201?
About 239.1673.
Is 57201 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 57201?
57201 is a happy number: repeatedly adding the squares of its digits reaches 1.