The number 15104
15104 is a composite number with 18 divisors. Its prime factorisation is × 59. Divisors (18): 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 256, 472, 944, 1888, 3776 … 15104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15104 is composite. Its prime factorisation is
- 3
The divisors add up to 30660; without 15104 itself that is 15556, so 15104 is abundant (15556 is more than 15104). Euler's totient φ(15104) = 7424 numbers up to 15104 share no factor with it.
- 4
The digits of 15104 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15104 = 2^{8} \times 59 \]15104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 30660 |
| Euler totient φ(n) | 7424 |
| Square | 228130816 |
| Cube | 3445687844864 |
| Square root | 122.898332 (= 16√59) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.5104 × |
15104 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand one hundred and four |
| Binary (base 2) | 11101100000000 |
| Octal (base 8) | 35400 |
| Hexadecimal (base 16) | 3B00 |
| Base 3 | 202201102 |
| As time | 15104 seconds = 4 h 11 min 44 s |
Is 15104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15104 ÷ 2 = 7552) | 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 | Yes (15104 ÷ 4 = 3776) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (15104 ÷ 8 = 1888) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15104 a prime number?
No. 15104 = × 59, so it is divisible by 2.
What are the factors of 15104?
1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 256, 472, 944, 1888, 3776, 7552, 15104.
What is 15104 in binary?
11101100000000 (hexadecimal 3B00, octal 35400).
What is the square root of 15104?
About 122.8983, exactly 16√59.
Is 15104 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 15104?
It is a composite number with 18 divisors.