The number 15488
15488 is a composite number with 24 divisors. Its prime factorisation is × . Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 352 … 15488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15488 is composite. Its prime factorisation is
- 3
The divisors add up to 33915; without 15488 itself that is 18427, so 15488 is abundant (18427 is more than 15488). Euler's totient φ(15488) = 7040 numbers up to 15488 share no factor with it.
- 4
The digits of 15488 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15488 = 2^{7} \times 11^{2} \]15488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 33915 |
| Euler totient φ(n) | 7040 |
| Square | 239878144 |
| Cube | 3715232694272 |
| Square root | 124.450793 (= 88√2) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.5488 × |
15488 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and eighty-eight |
| Binary (base 2) | 11110010000000 |
| Octal (base 8) | 36200 |
| Hexadecimal (base 16) | 3C80 |
| Base 3 | 210020122 |
| As time | 15488 seconds = 4 h 18 min 8 s |
Is 15488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15488 ÷ 2 = 7744) | 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 (15488 ÷ 4 = 3872) | 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 2) | 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 | Yes (15488 ÷ 8 = 1936) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (15488 ÷ 11 = 1408) | 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 15488 a prime number?
No. 15488 = × , so it is divisible by 2.
What are the factors of 15488?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 128, 176, 242, 352, 484, 704, 968, 1408, 1936, 3872, 7744, 15488.
What is 15488 in binary?
11110010000000 (hexadecimal 3C80, octal 36200).
What is the square root of 15488?
About 124.4508, exactly 88√2.
Is 15488 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 15488?
It is a composite number with 24 divisors.