The number 56727
56727 is a composite number with 16 divisors. Its prime factorisation is × 11 × 191. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 191, 297, 573, 1719, 2101, 5157, 6303, 18909, 56727.
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How to work it out
- 1
What is special about 56727: a Harshad number: divisible by its digit sum 27.
- 2
56727 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 56727 itself that is 35433, so 56727 is deficient (35433 is less than 56727). Euler's totient φ(56727) = 34200 numbers up to 56727 share no factor with it.
- 4
The digits of 56727 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56727 = 3^{3} \times 11 \times 191 \]56727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 34200 |
| Square | 3217952529 |
| Cube | 182544793112583 |
| Square root | 238.174306 (= 3√6303) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6727 × |
56727 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and twenty-seven |
| Binary (base 2) | 1101110110010111 |
| Octal (base 8) | 156627 |
| Hexadecimal (base 16) | DD97 |
| Base 3 | 2212211000 |
| As time | 56727 seconds = 15 h 45 min 27 s |
Is 56727 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 (56727 ÷ 3 = 18909) | 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 | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56727 ÷ 9 = 6303) | 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 | Yes (56727 ÷ 11 = 5157) | 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 56727 a prime number?
No. 56727 = × 11 × 191, so it is divisible by 3.
What are the factors of 56727?
1, 3, 9, 11, 27, 33, 99, 191, 297, 573, 1719, 2101, 5157, 6303, 18909, 56727.
What is 56727 in binary?
1101110110010111 (hexadecimal DD97, octal 156627).
What is the square root of 56727?
About 238.1743, exactly 3√6303.
Is 56727 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 56727?
56727 is a Harshad number: divisible by its digit sum 27.