The number 15888
15888 is a composite number with 20 divisors. Its prime factorisation is × 3 × 331. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 331, 662, 993, 1324, 1986, 2648 … 15888.
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How to work it out
- 1
15888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15888 is composite. Its prime factorisation is
- 3
The divisors add up to 41168; without 15888 itself that is 25280, so 15888 is abundant (25280 is more than 15888). Euler's totient φ(15888) = 5280 numbers up to 15888 share no factor with it.
- 4
The digits of 15888 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15888 = 2^{4} \times 3 \times 331 \]15888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 41168 |
| Euler totient φ(n) | 5280 |
| Square | 252428544 |
| Cube | 4010584707072 |
| Square root | 126.047610 (= 4√993) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.5888 × |
15888 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand eight hundred and eighty-eight |
| Binary (base 2) | 11111000010000 |
| Octal (base 8) | 37020 |
| Hexadecimal (base 16) | 3E10 |
| Base 3 | 210210110 |
| As time | 15888 seconds = 4 h 24 min 48 s |
Is 15888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15888 ÷ 2 = 7944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15888 ÷ 3 = 5296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15888 ÷ 4 = 3972) | 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 | Yes (15888 ÷ 6 = 2648) | 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 (15888 ÷ 8 = 1986) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15888 ÷ 12 = 1324) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15888 a prime number?
No. 15888 = × 3 × 331, so it is divisible by 2.
What are the factors of 15888?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 331, 662, 993, 1324, 1986, 2648, 3972, 5296, 7944, 15888.
What is 15888 in binary?
11111000010000 (hexadecimal 3E10, octal 37020).
What is the square root of 15888?
About 126.0476, exactly 4√993.
Is 15888 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 15888?
It is a composite number with 20 divisors.