The number 59312
59312 is a composite number with 20 divisors. Its prime factorisation is × 11 × 337. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 337, 674, 1348, 2696, 3707, 5392 … 59312.
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How to work it out
- 1
59312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59312 is composite. Its prime factorisation is
- 3
The divisors add up to 125736; without 59312 itself that is 66424, so 59312 is abundant (66424 is more than 59312). Euler's totient φ(59312) = 26880 numbers up to 59312 share no factor with it.
- 4
The digits of 59312 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59312 = 2^{4} \times 11 \times 337 \]59312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 125736 |
| Euler totient φ(n) | 26880 |
| Square | 3517913344 |
| Cube | 208654476259328 |
| Square root | 243.540551 (= 4√3707) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.9312 × |
59312 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and twelve |
| Binary (base 2) | 1110011110110000 |
| Octal (base 8) | 163660 |
| Hexadecimal (base 16) | E7B0 |
| Base 3 | 10000100202 |
| As time | 59312 seconds = 16 h 28 min 32 s |
Is 59312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59312 ÷ 2 = 29656) | 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 (59312 ÷ 4 = 14828) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (59312 ÷ 8 = 7414) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (59312 ÷ 11 = 5392) | 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 59312 a prime number?
No. 59312 = × 11 × 337, so it is divisible by 2.
What are the factors of 59312?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 337, 674, 1348, 2696, 3707, 5392, 7414, 14828, 29656, 59312.
What is 59312 in binary?
1110011110110000 (hexadecimal E7B0, octal 163660).
What is the square root of 59312?
About 243.5406, exactly 4√3707.
Is 59312 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 59312?
It is a composite number with 20 divisors.