The number 57977
57977 is the 5872nd prime number. Its only divisors are 1 and 57977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57977: the 5872nd prime number.
- 2
57977 is prime, so its only factors are 1 and 57977. It is the 5872nd prime; the next prime is 57991 and the one before is 57973.
- 3
The divisors add up to 57978; without 57977 itself that is 1, so 57977 is deficient (1 is less than 57977). Euler's totient φ(57977) = 57976 numbers up to 57977 share no factor with it.
- 4
The digits of 57977 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
57977 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57978 |
| Euler totient φ(n) | 57976 |
| Square | 3361332529 |
| Cube | 194879976033833 |
| Square root | 240.784136 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7977 × |
57977 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and seventy-seven |
| Binary (base 2) | 1110001001111001 |
| Octal (base 8) | 161171 |
| Hexadecimal (base 16) | E279 |
| Base 3 | 2221112022 |
| As time | 57977 seconds = 16 h 6 min 17 s |
Is 57977 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 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57977 a prime number?
Yes. 57977 is divisible only by 1 and itself.
What are the factors of 57977?
1, 57977.
What is 57977 in binary?
1110001001111001 (hexadecimal E279, octal 161171).
What is the square root of 57977?
About 240.7841.
Is 57977 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 57977?
57977 is the 5872nd prime number.