The number 15313
15313 is the 1789th prime number. Its only divisors are 1 and 15313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15313: the 1789th prime number.
- 2
15313 is prime, so its only factors are 1 and 15313. It is the 1789th prime; the next prime is 15319 and the one before is 15307.
- 3
The divisors add up to 15314; without 15313 itself that is 1, so 15313 is deficient (1 is less than 15313). Euler's totient φ(15313) = 15312 numbers up to 15313 share no factor with it.
- 4
The digits of 15313 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 84 steps to reach 1.
15313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15314 |
| Euler totient φ(n) | 15312 |
| Square | 234487969 |
| Cube | 3590714269297 |
| Square root | 123.745707 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5313 × |
15313 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and thirteen |
| Binary (base 2) | 11101111010001 |
| Octal (base 8) | 35721 |
| Hexadecimal (base 16) | 3BD1 |
| Base 3 | 210000011 |
| As time | 15313 seconds = 4 h 15 min 13 s |
Is 15313 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15313 a prime number?
Yes. 15313 is divisible only by 1 and itself.
What are the factors of 15313?
1, 15313.
What is 15313 in binary?
11101111010001 (hexadecimal 3BD1, octal 35721).
What is the square root of 15313?
About 123.7457.
Is 15313 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 15313?
15313 is the 1789th prime number.