The number 57672
57672 is a composite number with 40 divisors. Its prime factorisation is × × 89. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 89 … 57672.
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How to work it out
- 1
What is special about 57672: a Harshad number: divisible by its digit sum 27.
- 2
57672 is composite. Its prime factorisation is
- 3
The divisors add up to 163350; without 57672 itself that is 105678, so 57672 is abundant (105678 is more than 57672). Euler's totient φ(57672) = 19008 numbers up to 57672 share no factor with it.
- 4
The digits of 57672 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57672 = 2^{3} \times 3^{4} \times 89 \]57672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 163350 |
| Euler totient φ(n) | 19008 |
| Square | 3326059584 |
| Cube | 191820508328448 |
| Square root | 240.149953 (= 18√178) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.7672 × |
57672 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand six hundred and seventy-two |
| Binary (base 2) | 1110000101001000 |
| Octal (base 8) | 160510 |
| Hexadecimal (base 16) | E148 |
| Base 3 | 2221010000 |
| As time | 57672 seconds = 16 h 1 min 12 s |
Is 57672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57672 ÷ 2 = 28836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57672 ÷ 3 = 19224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57672 ÷ 4 = 14418) | 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 (57672 ÷ 6 = 9612) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (57672 ÷ 8 = 7209) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57672 ÷ 9 = 6408) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57672 ÷ 12 = 4806) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57672 a prime number?
No. 57672 = × × 89, so it is divisible by 2.
What are the factors of 57672?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 89, 108, 162, 178, 216, 267, 324, 356, 534, 648, 712, 801, 1068, 1602, 2136, 2403, 3204, 4806, 6408, 7209, 9612, 14418, 19224, 28836, 57672.
What is 57672 in binary?
1110000101001000 (hexadecimal E148, octal 160510).
What is the square root of 57672?
About 240.1500, exactly 18√178.
Is 57672 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57672?
57672 is a Harshad number: divisible by its digit sum 27.