The number 57312
57312 is a composite number with 36 divisors. Its prime factorisation is × × 199. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 57312.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57312: a Harshad number: divisible by its digit sum 18.
- 2
57312 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 57312 itself that is 106488, so 57312 is abundant (106488 is more than 57312). Euler's totient φ(57312) = 19008 numbers up to 57312 share no factor with it.
- 4
The digits of 57312 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57312 = 2^{5} \times 3^{2} \times 199 \]57312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 19008 |
| Square | 3284665344 |
| Cube | 188250740195328 |
| Square root | 239.399248 (= 12√398) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7312 × |
57312 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and twelve |
| Binary (base 2) | 1101111111100000 |
| Octal (base 8) | 157740 |
| Hexadecimal (base 16) | DFE0 |
| Base 3 | 2220121200 |
| As time | 57312 seconds = 15 h 55 min 12 s |
Is 57312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57312 ÷ 2 = 28656) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57312 ÷ 3 = 19104) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57312 ÷ 4 = 14328) | 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 | Yes (57312 ÷ 6 = 9552) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (57312 ÷ 8 = 7164) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57312 ÷ 9 = 6368) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57312 ÷ 12 = 4776) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57312 a prime number?
No. 57312 = × × 199, so it is divisible by 2.
What are the factors of 57312?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 199, 288, 398, 597, 796, 1194, 1592, 1791, 2388, 3184, 3582, 4776, 6368, 7164, 9552, 14328, 19104, 28656, 57312.
What is 57312 in binary?
1101111111100000 (hexadecimal DFE0, octal 157740).
What is the square root of 57312?
About 239.3992, exactly 12√398.
Is 57312 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57312?
57312 is a Harshad number: divisible by its digit sum 18.