The number 5088
5088 is a composite number with 24 divisors. Its prime factorisation is × 3 × 53. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212 … 5088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5088 is composite. Its prime factorisation is
- 3
The divisors add up to 13608; without 5088 itself that is 8520, so 5088 is abundant (8520 is more than 5088). Euler's totient φ(5088) = 1664 numbers up to 5088 share no factor with it.
- 4
The digits of 5088 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5088 = 2^{5} \times 3 \times 53 \]5088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13608 |
| Euler totient φ(n) | 1664 |
| Square | 25887744 |
| Cube | 131716841472 |
| Square root | 71.330218 (= 4√318) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 5.088 × |
5088 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eighty-eight |
| Binary (base 2) | 1001111100000 |
| Octal (base 8) | 11740 |
| Hexadecimal (base 16) | 13E0 |
| Base 3 | 20222110 |
| As time | 5088 seconds = 1 h 24 min 48 s |
Is 5088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5088 ÷ 2 = 2544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5088 ÷ 3 = 1696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5088 ÷ 4 = 1272) | 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 (5088 ÷ 6 = 848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (5088 ÷ 8 = 636) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5088 ÷ 12 = 424) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5088 a prime number?
No. 5088 = × 3 × 53, so it is divisible by 2.
What are the factors of 5088?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088.
What is 5088 in binary?
1001111100000 (hexadecimal 13E0, octal 11740).
What is the square root of 5088?
About 71.3302, exactly 4√318.
Is 5088 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5088?
It is a composite number with 24 divisors.