The number 59957
59957 is the 6054th prime number. Its only divisors are 1 and 59957.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59957: the 6054th prime number.
- 2
59957 is prime, so its only factors are 1 and 59957. It is the 6054th prime; the next prime is 59971 and the one before is 59951.
- 3
The divisors add up to 59958; without 59957 itself that is 1, so 59957 is deficient (1 is less than 59957). Euler's totient φ(59957) = 59956 numbers up to 59957 share no factor with it.
- 4
The digits of 59957 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 91 steps to reach 1.
59957 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59958 |
| Euler totient φ(n) | 59956 |
| Square | 3594841849 |
| Cube | 215535932740493 |
| Square root | 244.861185 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9957 × |
59957 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and fifty-seven |
| Binary (base 2) | 1110101000110101 |
| Octal (base 8) | 165065 |
| Hexadecimal (base 16) | EA35 |
| Base 3 | 10001020122 |
| As time | 59957 seconds = 16 h 39 min 17 s |
Is 59957 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 2) | 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 | 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 59957 a prime number?
Yes. 59957 is divisible only by 1 and itself.
What are the factors of 59957?
1, 59957.
What is 59957 in binary?
1110101000110101 (hexadecimal EA35, octal 165065).
What is the square root of 59957?
About 244.8612.
Is 59957 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 59957?
59957 is the 6054th prime number.