The number 13249
13249 is the 1575th prime number. Its only divisors are 1 and 13249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13249: the 1575th prime number.
- 2
13249 is prime, so its only factors are 1 and 13249. It is the 1575th prime; the next prime is 13259 and the one before is 13241.
- 3
The divisors add up to 13250; without 13249 itself that is 1, so 13249 is deficient (1 is less than 13249). Euler's totient φ(13249) = 13248 numbers up to 13249 share no factor with it.
- 4
The digits of 13249 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
13249 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13250 |
| Euler totient φ(n) | 13248 |
| Square | 175536001 |
| Cube | 2325676477249 |
| Square root | 115.104301 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3249 × |
13249 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and forty-nine |
| Binary (base 2) | 11001111000001 |
| Octal (base 8) | 31701 |
| Hexadecimal (base 16) | 33C1 |
| Base 3 | 200011201 |
| As time | 13249 seconds = 3 h 40 min 49 s |
Is 13249 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 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 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 13249 a prime number?
Yes. 13249 is divisible only by 1 and itself.
What are the factors of 13249?
1, 13249.
What is 13249 in binary?
11001111000001 (hexadecimal 33C1, octal 31701).
What is the square root of 13249?
About 115.1043.
Is 13249 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13249?
13249 is the 1575th prime number.