The number 15249
15249 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 17 × 23. Divisors (16): 1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083, 15249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15249 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 15249 itself that is 8943, so 15249 is deficient (8943 is less than 15249). Euler's totient φ(15249) = 8448 numbers up to 15249 share no factor with it.
- 4
The digits of 15249 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15249 = 3 \times 13 \times 17 \times 23 \]
15249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 8448 |
| Square | 232532001 |
| Cube | 3545880483249 |
| Square root | 123.486841 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5249 × |
15249 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand two hundred and forty-nine |
| Binary (base 2) | 11101110010001 |
| Octal (base 8) | 35621 |
| Hexadecimal (base 16) | 3B91 |
| Base 3 | 202220210 |
| As time | 15249 seconds = 4 h 14 min 9 s |
Is 15249 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 | Yes (15249 ÷ 3 = 5083) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15249 a prime number?
No. 15249 = 3 × 13 × 17 × 23, so it is divisible by 3.
What are the factors of 15249?
1, 3, 13, 17, 23, 39, 51, 69, 221, 299, 391, 663, 897, 1173, 5083, 15249.
What is 15249 in binary?
11101110010001 (hexadecimal 3B91, octal 35621).
What is the square root of 15249?
About 123.4868.
Is 15249 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 15249?
It is a composite number with 16 divisors.