The number 57121
57121 is a perfect square (239²). Its prime factorisation is . Divisors (3): 1, 239, 57121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57121: a perfect square (239²); the square of a prime (239²).
- 2
57121 is composite. Its prime factorisation is
- 3
The divisors add up to 57361; without 57121 itself that is 240, so 57121 is deficient (240 is less than 57121). Euler's totient φ(57121) = 56882 numbers up to 57121 share no factor with it.
- 4
The digits of 57121 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57121 = 239^{2} \]57121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 57361 |
| Euler totient φ(n) | 56882 |
| Square | 3262808641 |
| Cube | 186374892382561 |
| Square root | 239 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7121 × |
| Perfect power |
57121 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand one hundred and twenty-one |
| Binary (base 2) | 1101111100100001 |
| Octal (base 8) | 157441 |
| Hexadecimal (base 16) | DF21 |
| Base 3 | 2220100121 |
| As time | 57121 seconds = 15 h 52 min 1 s |
Is 57121 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 1) | 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 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 7) | 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 9) | 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 57121 a prime number?
No. 57121 = , so it is divisible by 239.
What are the factors of 57121?
1, 239, 57121.
What is 57121 in binary?
1101111100100001 (hexadecimal DF21, octal 157441).
What is the square root of 57121?
239, because 239 × 239 = 57121.
Is 57121 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 57121?
57121 is a perfect square (239²); the square of a prime (239²).