The number 59929
59929 is the 6052nd prime number. Its only divisors are 1 and 59929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59929: the 6052nd prime number.
- 2
59929 is prime, so its only factors are 1 and 59929. It is the 6052nd prime; the next prime is 59951 and the one before is 59921.
- 3
The divisors add up to 59930; without 59929 itself that is 1, so 59929 is deficient (1 is less than 59929). Euler's totient φ(59929) = 59928 numbers up to 59929 share no factor with it.
- 4
The digits of 59929 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
59929 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59930 |
| Euler totient φ(n) | 59928 |
| Square | 3591485041 |
| Cube | 215234107022089 |
| Square root | 244.804003 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9929 × |
59929 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and twenty-nine |
| Binary (base 2) | 1110101000011001 |
| Octal (base 8) | 165031 |
| Hexadecimal (base 16) | EA19 |
| Base 3 | 10001012121 |
| As time | 59929 seconds = 16 h 38 min 49 s |
Is 59929 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 4) | 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 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 59929 a prime number?
Yes. 59929 is divisible only by 1 and itself.
What are the factors of 59929?
1, 59929.
What is 59929 in binary?
1110101000011001 (hexadecimal EA19, octal 165031).
What is the square root of 59929?
About 244.8040.
Is 59929 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 59929?
59929 is the 6052nd prime number.