The number 5879
5879 is a twin prime (5879 and 5881 are both prime) and the 774th prime number. Its only divisors are 1 and 5879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5879: a twin prime (5879 and 5881 are both prime); the 774th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5879 is prime, so its only factors are 1 and 5879. It is the 774th prime; the next prime is 5881 and the one before is 5869.
- 3
The divisors add up to 5880; without 5879 itself that is 1, so 5879 is deficient (1 is less than 5879). Euler's totient φ(5879) = 5878 numbers up to 5879 share no factor with it.
- 4
The digits of 5879 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
5879 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5880 |
| Euler totient φ(n) | 5878 |
| Square | 34562641 |
| Cube | 203193766439 |
| Square root | 76.674637 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.879 × |
5879 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and seventy-nine |
| Binary (base 2) | 1011011110111 |
| Octal (base 8) | 13367 |
| Hexadecimal (base 16) | 16F7 |
| Base 3 | 22001202 |
| As time | 5879 seconds = 1 h 37 min 59 s |
Is 5879 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 6) | 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 7) | 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 5) | 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 5879 a prime number?
Yes. 5879 is divisible only by 1 and itself.
What are the factors of 5879?
1, 5879.
What is 5879 in binary?
1011011110111 (hexadecimal 16F7, octal 13367).
What is the square root of 5879?
About 76.6746.
Is 5879 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 5879?
5879 is a twin prime (5879 and 5881 are both prime); the 774th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.