The number 57348
57348 is a composite number with 36 divisors. Its prime factorisation is × × 59. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162 … 57348.
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How to work it out
- 1
What is special about 57348: a Harshad number: divisible by its digit sum 27.
- 2
57348 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 57348 itself that is 95532, so 57348 is abundant (95532 is more than 57348). Euler's totient φ(57348) = 18792 numbers up to 57348 share no factor with it.
- 4
The digits of 57348 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57348 = 2^{2} \times 3^{5} \times 59 \]57348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 18792 |
| Square | 3288793104 |
| Cube | 188605706928192 |
| Square root | 239.474425 (= 18√177) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7348 × |
57348 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand three hundred and forty-eight |
| Binary (base 2) | 1110000000000100 |
| Octal (base 8) | 160004 |
| Hexadecimal (base 16) | E004 |
| Base 3 | 2220200000 |
| As time | 57348 seconds = 15 h 55 min 48 s |
Is 57348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57348 ÷ 2 = 28674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57348 ÷ 3 = 19116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57348 ÷ 4 = 14337) | 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 (57348 ÷ 6 = 9558) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57348 ÷ 9 = 6372) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57348 ÷ 12 = 4779) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57348 a prime number?
No. 57348 = × × 59, so it is divisible by 2.
What are the factors of 57348?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162, 177, 236, 243, 324, 354, 486, 531, 708, 972, 1062, 1593, 2124, 3186, 4779, 6372, 9558, 14337, 19116, 28674, 57348.
What is 57348 in binary?
1110000000000100 (hexadecimal E004, octal 160004).
What is the square root of 57348?
About 239.4744, exactly 18√177.
Is 57348 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57348?
57348 is a Harshad number: divisible by its digit sum 27.