The number 59024
59024 is a composite number with 40 divisors. Its prime factorisation is × 7 × 17 × 31. Divisors (40): 1, 2, 4, 7, 8, 14, 16, 17, 28, 31, 34, 56, 62, 68, 112, 119 … 59024.
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How to work it out
- 1
59024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59024 is composite. Its prime factorisation is
- 3
The divisors add up to 142848; without 59024 itself that is 83824, so 59024 is abundant (83824 is more than 59024). Euler's totient φ(59024) = 23040 numbers up to 59024 share no factor with it.
- 4
The digits of 59024 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59024 = 2^{4} \times 7 \times 17 \times 31 \]59024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 142848 |
| Euler totient φ(n) | 23040 |
| Square | 3483832576 |
| Cube | 205629733965824 |
| Square root | 242.948554 (= 4√3689) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.9024 × |
59024 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and twenty-four |
| Binary (base 2) | 1110011010010000 |
| Octal (base 8) | 163220 |
| Hexadecimal (base 16) | E690 |
| Base 3 | 2222222002 |
| As time | 59024 seconds = 16 h 23 min 44 s |
Is 59024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59024 ÷ 2 = 29512) | 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 (59024 ÷ 4 = 14756) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (59024 ÷ 7 = 8432) | 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 (59024 ÷ 8 = 7378) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 59024 a prime number?
No. 59024 = × 7 × 17 × 31, so it is divisible by 2.
What are the factors of 59024?
1, 2, 4, 7, 8, 14, 16, 17, 28, 31, 34, 56, 62, 68, 112, 119, 124, 136, 217, 238, 248, 272, 434, 476, 496, 527, 868, 952, 1054, 1736, 1904, 2108, 3472, 3689, 4216, 7378, 8432, 14756, 29512, 59024.
What is 59024 in binary?
1110011010010000 (hexadecimal E690, octal 163220).
What is the square root of 59024?
About 242.9486, exactly 4√3689.
Is 59024 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 59024?
It is a composite number with 40 divisors.