The number 58979
58979 is the 5961st prime number. Its only divisors are 1 and 58979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58979: the 5961st prime number.
- 2
58979 is prime, so its only factors are 1 and 58979. It is the 5961st prime; the next prime is 58991 and the one before is 58967.
- 3
The divisors add up to 58980; without 58979 itself that is 1, so 58979 is deficient (1 is less than 58979). Euler's totient φ(58979) = 58978 numbers up to 58979 share no factor with it.
- 4
The digits of 58979 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
58979 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58980 |
| Euler totient φ(n) | 58978 |
| Square | 3478522441 |
| Cube | 205159775047739 |
| Square root | 242.855924 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.8979 × |
58979 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and seventy-nine |
| Binary (base 2) | 1110011001100011 |
| Octal (base 8) | 163143 |
| Hexadecimal (base 16) | E663 |
| Base 3 | 2222220102 |
| As time | 58979 seconds = 16 h 22 min 59 s |
Is 58979 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 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58979 a prime number?
Yes. 58979 is divisible only by 1 and itself.
What are the factors of 58979?
1, 58979.
What is 58979 in binary?
1110011001100011 (hexadecimal E663, octal 163143).
What is the square root of 58979?
About 242.8559.
Is 58979 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 58979?
58979 is the 5961st prime number.