The number 5888
5888 is a composite number with 18 divisors. Its prime factorisation is × 23. Divisors (18): 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472 … 5888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5888 is composite. Its prime factorisation is
- 3
The divisors add up to 12264; without 5888 itself that is 6376, so 5888 is abundant (6376 is more than 5888). Euler's totient φ(5888) = 2816 numbers up to 5888 share no factor with it.
- 4
The digits of 5888 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5888 = 2^{8} \times 23 \]5888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 12264 |
| Euler totient φ(n) | 2816 |
| Square | 34668544 |
| Cube | 204128387072 |
| Square root | 76.733304 (= 16√23) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 23 |
| Scientific notation | 5.888 × |
5888 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and eighty-eight |
| Binary (base 2) | 1011100000000 |
| Octal (base 8) | 13400 |
| Hexadecimal (base 16) | 1700 |
| Base 3 | 22002002 |
| As time | 5888 seconds = 1 h 38 min 8 s |
Is 5888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5888 ÷ 2 = 2944) | 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 (5888 ÷ 4 = 1472) | 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 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 (5888 ÷ 8 = 736) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 5888 a prime number?
No. 5888 = × 23, so it is divisible by 2.
What are the factors of 5888?
1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888.
What is 5888 in binary?
1011100000000 (hexadecimal 1700, octal 13400).
What is the square root of 5888?
About 76.7333, exactly 16√23.
Is 5888 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 5888?
It is a composite number with 18 divisors.