The number 15323
15323 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 199. Divisors (8): 1, 7, 11, 77, 199, 1393, 2189, 15323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15323 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15323 is composite. Its prime factorisation is
- 3
The divisors add up to 19200; without 15323 itself that is 3877, so 15323 is deficient (3877 is less than 15323). Euler's totient φ(15323) = 11880 numbers up to 15323 share no factor with it.
- 4
The digits of 15323 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15323 = 7 \times 11 \times 199 \]
15323 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19200 |
| Euler totient φ(n) | 11880 |
| Square | 234794329 |
| Cube | 3597753503267 |
| Square root | 123.786106 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5323 × |
15323 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and twenty-three |
| Binary (base 2) | 11101111011011 |
| Octal (base 8) | 35733 |
| Hexadecimal (base 16) | 3BDB |
| Base 3 | 210000112 |
| As time | 15323 seconds = 4 h 15 min 23 s |
Is 15323 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (15323 ÷ 7 = 2189) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (15323 ÷ 11 = 1393) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15323 a prime number?
No. 15323 = 7 × 11 × 199, so it is divisible by 7.
What are the factors of 15323?
1, 7, 11, 77, 199, 1393, 2189, 15323.
What is 15323 in binary?
11101111011011 (hexadecimal 3BDB, octal 35733).
What is the square root of 15323?
About 123.7861.
Is 15323 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 15323?
It is a composite number with 8 divisors.