The number 15184
15184 is a composite number with 20 divisors. Its prime factorisation is × 13 × 73. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168 … 15184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15184 is composite. Its prime factorisation is
- 3
The divisors add up to 32116; without 15184 itself that is 16932, so 15184 is abundant (16932 is more than 15184). Euler's totient φ(15184) = 6912 numbers up to 15184 share no factor with it.
- 4
The digits of 15184 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15184 = 2^{4} \times 13 \times 73 \]15184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 32116 |
| Euler totient φ(n) | 6912 |
| Square | 230553856 |
| Cube | 3500729749504 |
| Square root | 123.223374 (= 4√949) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.5184 × |
15184 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand one hundred and eighty-four |
| Binary (base 2) | 11101101010000 |
| Octal (base 8) | 35520 |
| Hexadecimal (base 16) | 3B50 |
| Base 3 | 202211101 |
| As time | 15184 seconds = 4 h 13 min 4 s |
Is 15184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15184 ÷ 2 = 7592) | 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 | Yes (15184 ÷ 4 = 3796) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (15184 ÷ 8 = 1898) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15184 a prime number?
No. 15184 = × 13 × 73, so it is divisible by 2.
What are the factors of 15184?
1, 2, 4, 8, 13, 16, 26, 52, 73, 104, 146, 208, 292, 584, 949, 1168, 1898, 3796, 7592, 15184.
What is 15184 in binary?
11101101010000 (hexadecimal 3B50, octal 35520).
What is the square root of 15184?
About 123.2234, exactly 4√949.
Is 15184 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 15184?
It is a composite number with 20 divisors.