The number 15327
15327 is a composite number with 12 divisors. Its prime factorisation is × 13 × 131. Divisors (12): 1, 3, 9, 13, 39, 117, 131, 393, 1179, 1703, 5109, 15327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15327 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15327 is composite. Its prime factorisation is
- 3
The divisors add up to 24024; without 15327 itself that is 8697, so 15327 is deficient (8697 is less than 15327). Euler's totient φ(15327) = 9360 numbers up to 15327 share no factor with it.
- 4
The digits of 15327 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15327 = 3^{2} \times 13 \times 131 \]15327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24024 |
| Euler totient φ(n) | 9360 |
| Square | 234916929 |
| Cube | 3600571770783 |
| Square root | 123.802262 (= 3√1703) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.5327 × |
15327 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and twenty-seven |
| Binary (base 2) | 11101111011111 |
| Octal (base 8) | 35737 |
| Hexadecimal (base 16) | 3BDF |
| Base 3 | 210000200 |
| As time | 15327 seconds = 4 h 15 min 27 s |
Is 15327 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 (15327 ÷ 3 = 5109) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15327 ÷ 9 = 1703) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15327 a prime number?
No. 15327 = × 13 × 131, so it is divisible by 3.
What are the factors of 15327?
1, 3, 9, 13, 39, 117, 131, 393, 1179, 1703, 5109, 15327.
What is 15327 in binary?
11101111011111 (hexadecimal 3BDF, octal 35737).
What is the square root of 15327?
About 123.8023, exactly 3√1703.
Is 15327 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15327?
It is a composite number with 12 divisors.