The number 13679
13679 is a twin prime (13679 and 13681 are both prime) and the 1615th prime number. Its only divisors are 1 and 13679.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13679: a twin prime (13679 and 13681 are both prime); the 1615th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13679 is prime, so its only factors are 1 and 13679. It is the 1615th prime; the next prime is 13681 and the one before is 13669.
- 3
The divisors add up to 13680; without 13679 itself that is 1, so 13679 is deficient (1 is less than 13679). Euler's totient φ(13679) = 13678 numbers up to 13679 share no factor with it.
- 4
The digits of 13679 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 63 steps to reach 1.
13679 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13680 |
| Euler totient φ(n) | 13678 |
| Square | 187115041 |
| Cube | 2559546645839 |
| Square root | 116.957257 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3679 × |
13679 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-nine |
| Binary (base 2) | 11010101101111 |
| Octal (base 8) | 32557 |
| Hexadecimal (base 16) | 356F |
| Base 3 | 200202122 |
| As time | 13679 seconds = 3 h 47 min 59 s |
Is 13679 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 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 13679 a prime number?
Yes. 13679 is divisible only by 1 and itself.
What are the factors of 13679?
1, 13679.
What is 13679 in binary?
11010101101111 (hexadecimal 356F, octal 32557).
What is the square root of 13679?
About 116.9573.
Is 13679 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13679?
13679 is a twin prime (13679 and 13681 are both prime); the 1615th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.