The number 59088
59088 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1231. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1231, 2462, 3693, 4924, 7386, 9848 … 59088.
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How to work it out
- 1
59088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59088 is composite. Its prime factorisation is
- 3
The divisors add up to 152768; without 59088 itself that is 93680, so 59088 is abundant (93680 is more than 59088). Euler's totient φ(59088) = 19680 numbers up to 59088 share no factor with it.
- 4
The digits of 59088 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59088 = 2^{4} \times 3 \times 1231 \]59088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 152768 |
| Euler totient φ(n) | 19680 |
| Square | 3491391744 |
| Cube | 206299355369472 |
| Square root | 243.080234 (= 4√3693) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9088 × |
59088 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and eighty-eight |
| Binary (base 2) | 1110011011010000 |
| Octal (base 8) | 163320 |
| Hexadecimal (base 16) | E6D0 |
| Base 3 | 10000001110 |
| As time | 59088 seconds = 16 h 24 min 48 s |
Is 59088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59088 ÷ 2 = 29544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59088 ÷ 3 = 19696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59088 ÷ 4 = 14772) | 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 (59088 ÷ 6 = 9848) | 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 (59088 ÷ 8 = 7386) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59088 ÷ 12 = 4924) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59088 a prime number?
No. 59088 = × 3 × 1231, so it is divisible by 2.
What are the factors of 59088?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1231, 2462, 3693, 4924, 7386, 9848, 14772, 19696, 29544, 59088.
What is 59088 in binary?
1110011011010000 (hexadecimal E6D0, octal 163320).
What is the square root of 59088?
About 243.0802, exactly 4√3693.
Is 59088 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 59088?
It is a composite number with 20 divisors.