The number 57267
57267 is a composite number with 20 divisors. Its prime factorisation is × 7 × 101. Divisors (20): 1, 3, 7, 9, 21, 27, 63, 81, 101, 189, 303, 567, 707, 909, 2121, 2727 … 57267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57267: a Harshad number: divisible by its digit sum 27.
- 2
57267 is composite. Its prime factorisation is
- 3
The divisors add up to 98736; without 57267 itself that is 41469, so 57267 is deficient (41469 is less than 57267). Euler's totient φ(57267) = 32400 numbers up to 57267 share no factor with it.
- 4
The digits of 57267 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
\[ 57267 = 3^{4} \times 7 \times 101 \]57267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 98736 |
| Euler totient φ(n) | 32400 |
| Square | 3279509289 |
| Cube | 187807658453163 |
| Square root | 239.305244 (= 9√707) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7267 × |
57267 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred and sixty-seven |
| Binary (base 2) | 1101111110110011 |
| Octal (base 8) | 157663 |
| Hexadecimal (base 16) | DFB3 |
| Base 3 | 2220120000 |
| As time | 57267 seconds = 15 h 54 min 27 s |
Is 57267 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57267 ÷ 3 = 19089) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57267 ÷ 7 = 8181) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57267 ÷ 9 = 6363) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57267 a prime number?
No. 57267 = × 7 × 101, so it is divisible by 3.
What are the factors of 57267?
1, 3, 7, 9, 21, 27, 63, 81, 101, 189, 303, 567, 707, 909, 2121, 2727, 6363, 8181, 19089, 57267.
What is 57267 in binary?
1101111110110011 (hexadecimal DFB3, octal 157663).
What is the square root of 57267?
About 239.3052, exactly 9√707.
Is 57267 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 57267?
57267 is a Harshad number: divisible by its digit sum 27.