The number 15088
15088 is a composite number with 20 divisors. Its prime factorisation is × 23 × 41. Divisors (20): 1, 2, 4, 8, 16, 23, 41, 46, 82, 92, 164, 184, 328, 368, 656, 943 … 15088.
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How to work it out
- 1
15088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15088 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 15088 itself that is 16160, so 15088 is abundant (16160 is more than 15088). Euler's totient φ(15088) = 7040 numbers up to 15088 share no factor with it.
- 4
The digits of 15088 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15088 = 2^{4} \times 23 \times 41 \]15088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 7040 |
| Square | 227647744 |
| Cube | 3434749161472 |
| Square root | 122.833220 (= 4√943) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.5088 × |
15088 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and eighty-eight |
| Binary (base 2) | 11101011110000 |
| Octal (base 8) | 35360 |
| Hexadecimal (base 16) | 3AF0 |
| Base 3 | 202200211 |
| As time | 15088 seconds = 4 h 11 min 28 s |
Is 15088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15088 ÷ 2 = 7544) | 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 (15088 ÷ 4 = 3772) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (15088 ÷ 8 = 1886) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 15088 a prime number?
No. 15088 = × 23 × 41, so it is divisible by 2.
What are the factors of 15088?
1, 2, 4, 8, 16, 23, 41, 46, 82, 92, 164, 184, 328, 368, 656, 943, 1886, 3772, 7544, 15088.
What is 15088 in binary?
11101011110000 (hexadecimal 3AF0, octal 35360).
What is the square root of 15088?
About 122.8332, exactly 4√943.
Is 15088 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 15088?
It is a composite number with 20 divisors.