The number 15309
15309 is a composite number with 16 divisors. Its prime factorisation is × 7. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 2187, 5103, 15309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15309 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15309 is composite. Its prime factorisation is
- 3
The divisors add up to 26240; without 15309 itself that is 10931, so 15309 is deficient (10931 is less than 15309). Euler's totient φ(15309) = 8748 numbers up to 15309 share no factor with it.
- 4
The digits of 15309 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15309 = 3^{7} \times 7 \]15309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26240 |
| Euler totient φ(n) | 8748 |
| Square | 234365481 |
| Cube | 3587901148629 |
| Square root | 123.729544 (= 27√21) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5309 × |
15309 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and nine |
| Binary (base 2) | 11101111001101 |
| Octal (base 8) | 35715 |
| Hexadecimal (base 16) | 3BCD |
| Base 3 | 210000000 |
| As time | 15309 seconds = 4 h 15 min 9 s |
Is 15309 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 (15309 ÷ 3 = 5103) | 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 | Yes (15309 ÷ 7 = 2187) | 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 | Yes (15309 ÷ 9 = 1701) | 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 8) | 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 15309 a prime number?
No. 15309 = × 7, so it is divisible by 3.
What are the factors of 15309?
1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 729, 1701, 2187, 5103, 15309.
What is 15309 in binary?
11101111001101 (hexadecimal 3BCD, octal 35715).
What is the square root of 15309?
About 123.7295, exactly 27√21.
Is 15309 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15309?
It is a composite number with 16 divisors.