The number 15331
15331 is a twin prime (15329 and 15331 are both prime) and the 1792nd prime number. Its only divisors are 1 and 15331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15331: a twin prime (15329 and 15331 are both prime); the 1792nd prime number.
- 2
15331 is prime, so its only factors are 1 and 15331. It is the 1792nd prime; the next prime is 15349 and the one before is 15329.
- 3
The divisors add up to 15332; without 15331 itself that is 1, so 15331 is deficient (1 is less than 15331). Euler's totient φ(15331) = 15330 numbers up to 15331 share no factor with it.
- 4
The digits of 15331 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
15331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15332 |
| Euler totient φ(n) | 15330 |
| Square | 235039561 |
| Cube | 3603391509691 |
| Square root | 123.818415 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.5331 × |
15331 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and thirty-one |
| Binary (base 2) | 11101111100011 |
| Octal (base 8) | 35743 |
| Hexadecimal (base 16) | 3BE3 |
| Base 3 | 210000211 |
| As time | 15331 seconds = 4 h 15 min 31 s |
Is 15331 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 1) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15331 a prime number?
Yes. 15331 is divisible only by 1 and itself.
What are the factors of 15331?
1, 15331.
What is 15331 in binary?
11101111100011 (hexadecimal 3BE3, octal 35743).
What is the square root of 15331?
About 123.8184.
Is 15331 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 15331?
15331 is a twin prime (15329 and 15331 are both prime); the 1792nd prime number.