The number 13759
13759 is a twin prime (13757 and 13759 are both prime) and the 1628th prime number. Its only divisors are 1 and 13759.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13759: a twin prime (13757 and 13759 are both prime); the 1628th prime number.
- 2
13759 is prime, so its only factors are 1 and 13759. It is the 1628th prime; the next prime is 13763 and the one before is 13757.
- 3
The divisors add up to 13760; without 13759 itself that is 1, so 13759 is deficient (1 is less than 13759). Euler's totient φ(13759) = 13758 numbers up to 13759 share no factor with it.
- 4
The digits of 13759 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
13759 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13760 |
| Euler totient φ(n) | 13758 |
| Square | 189310081 |
| Cube | 2604717404479 |
| Square root | 117.298764 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3759 × |
13759 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and fifty-nine |
| Binary (base 2) | 11010110111111 |
| Octal (base 8) | 32677 |
| Hexadecimal (base 16) | 35BF |
| Base 3 | 200212121 |
| As time | 13759 seconds = 3 h 49 min 19 s |
Is 13759 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 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 1) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13759 a prime number?
Yes. 13759 is divisible only by 1 and itself.
What are the factors of 13759?
1, 13759.
What is 13759 in binary?
11010110111111 (hexadecimal 35BF, octal 32677).
What is the square root of 13759?
About 117.2988.
Is 13759 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13759?
13759 is a twin prime (13757 and 13759 are both prime); the 1628th prime number.