The number 15013
15013 is the 1755th prime number. Its only divisors are 1 and 15013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15013: the 1755th prime number.
- 2
15013 is prime, so its only factors are 1 and 15013. It is the 1755th prime; the next prime is 15017 and the one before is 14983.
- 3
The divisors add up to 15014; without 15013 itself that is 1, so 15013 is deficient (1 is less than 15013). Euler's totient φ(15013) = 15012 numbers up to 15013 share no factor with it.
- 4
The digits of 15013 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
15013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 15014 |
| Euler totient φ(n) | 15012 |
| Square | 225390169 |
| Cube | 3383782607197 |
| Square root | 122.527548 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.5013 × |
15013 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and thirteen |
| Binary (base 2) | 11101010100101 |
| Octal (base 8) | 35245 |
| Hexadecimal (base 16) | 3AA5 |
| Base 3 | 202121001 |
| As time | 15013 seconds = 4 h 10 min 13 s |
Is 15013 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 15013 a prime number?
Yes. 15013 is divisible only by 1 and itself.
What are the factors of 15013?
1, 15013.
What is 15013 in binary?
11101010100101 (hexadecimal 3AA5, octal 35245).
What is the square root of 15013?
About 122.5275.
Is 15013 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 15013?
15013 is the 1755th prime number.