The number 59488
59488 is a composite number with 36 divisors. Its prime factorisation is × 11 × . Divisors (36): 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 169 … 59488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59488 is composite. Its prime factorisation is
- 3
The divisors add up to 138348; without 59488 itself that is 78860, so 59488 is abundant (78860 is more than 59488). Euler's totient φ(59488) = 24960 numbers up to 59488 share no factor with it.
- 4
The digits of 59488 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59488 = 2^{5} \times 11 \times 13^{2} \]59488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 138348 |
| Euler totient φ(n) | 24960 |
| Square | 3538822144 |
| Cube | 210517451702272 |
| Square root | 243.901620 (= 52√22) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9488 × |
59488 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and eighty-eight |
| Binary (base 2) | 1110100001100000 |
| Octal (base 8) | 164140 |
| Hexadecimal (base 16) | E860 |
| Base 3 | 10000121021 |
| As time | 59488 seconds = 16 h 31 min 28 s |
Is 59488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59488 ÷ 2 = 29744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59488 ÷ 4 = 14872) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (59488 ÷ 8 = 7436) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (59488 ÷ 11 = 5408) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59488 a prime number?
No. 59488 = × 11 × , so it is divisible by 2.
What are the factors of 59488?
1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 169, 176, 208, 286, 338, 352, 416, 572, 676, 1144, 1352, 1859, 2288, 2704, 3718, 4576, 5408, 7436, 14872, 29744, 59488.
What is 59488 in binary?
1110100001100000 (hexadecimal E860, octal 164140).
What is the square root of 59488?
About 243.9016, exactly 52√22.
Is 59488 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 59488?
It is a composite number with 36 divisors.