The number 59981
59981 is the 6056th prime number. Its only divisors are 1 and 59981.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59981: the 6056th prime number.
- 2
59981 is prime, so its only factors are 1 and 59981. It is the 6056th prime; the next prime is 59999 and the one before is 59971.
- 3
The divisors add up to 59982; without 59981 itself that is 1, so 59981 is deficient (1 is less than 59981). Euler's totient φ(59981) = 59980 numbers up to 59981 share no factor with it.
- 4
The digits of 59981 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
59981 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59982 |
| Euler totient φ(n) | 59980 |
| Square | 3597720361 |
| Cube | 215794864973141 |
| Square root | 244.910188 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.9981 × |
59981 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and eighty-one |
| Binary (base 2) | 1110101001001101 |
| Octal (base 8) | 165115 |
| Hexadecimal (base 16) | EA4D |
| Base 3 | 10001021112 |
| As time | 59981 seconds = 16 h 39 min 41 s |
Is 59981 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 1) | 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 5) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59981 a prime number?
Yes. 59981 is divisible only by 1 and itself.
What are the factors of 59981?
1, 59981.
What is 59981 in binary?
1110101001001101 (hexadecimal EA4D, octal 165115).
What is the square root of 59981?
About 244.9102.
Is 59981 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 59981?
59981 is the 6056th prime number.