The number 59921
59921 is the 6051st prime number. Its only divisors are 1 and 59921.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59921: the 6051st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59921 is prime, so its only factors are 1 and 59921. It is the 6051st prime; the next prime is 59929 and the one before is 59887.
- 3
The divisors add up to 59922; without 59921 itself that is 1, so 59921 is deficient (1 is less than 59921). Euler's totient φ(59921) = 59920 numbers up to 59921 share no factor with it.
- 4
The digits of 59921 add up to 26, 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.
59921 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59922 |
| Euler totient φ(n) | 59920 |
| Square | 3590526241 |
| Cube | 215147922886961 |
| Square root | 244.787663 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9921 × |
59921 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and twenty-one |
| Binary (base 2) | 1110101000010001 |
| Octal (base 8) | 165021 |
| Hexadecimal (base 16) | EA11 |
| Base 3 | 10001012022 |
| As time | 59921 seconds = 16 h 38 min 41 s |
Is 59921 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 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 8) | 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 4) | 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 59921 a prime number?
Yes. 59921 is divisible only by 1 and itself.
What are the factors of 59921?
1, 59921.
What is 59921 in binary?
1110101000010001 (hexadecimal EA11, octal 165021).
What is the square root of 59921?
About 244.7877.
Is 59921 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59921?
59921 is the 6051st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.