The number 15739
15739 is a twin prime (15737 and 15739 are both prime) and the 1836th prime number. Its only divisors are 1 and 15739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15739: a twin prime (15737 and 15739 are both prime); the 1836th prime number.
- 2
15739 is prime, so its only factors are 1 and 15739. It is the 1836th prime; the next prime is 15749 and the one before is 15737.
- 3
The divisors add up to 15740; without 15739 itself that is 1, so 15739 is deficient (1 is less than 15739). Euler's totient φ(15739) = 15738 numbers up to 15739 share no factor with it.
- 4
The digits of 15739 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 53 steps to reach 1.
15739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15740 |
| Euler totient φ(n) | 15738 |
| Square | 247716121 |
| Cube | 3898804028419 |
| Square root | 125.455171 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5739 × |
15739 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and thirty-nine |
| Binary (base 2) | 11110101111011 |
| Octal (base 8) | 36573 |
| Hexadecimal (base 16) | 3D7B |
| Base 3 | 210120221 |
| As time | 15739 seconds = 4 h 22 min 19 s |
Is 15739 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 3) | 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 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 15739 a prime number?
Yes. 15739 is divisible only by 1 and itself.
What are the factors of 15739?
1, 15739.
What is 15739 in binary?
11110101111011 (hexadecimal 3D7B, octal 36573).
What is the square root of 15739?
About 125.4552.
Is 15739 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 15739?
15739 is a twin prime (15737 and 15739 are both prime); the 1836th prime number.