The number 56772
56772 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 83. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 83, 114, 166 … 56772.
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How to work it out
- 1
56772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56772 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 56772 itself that is 96108, so 56772 is abundant (96108 is more than 56772). Euler's totient φ(56772) = 17712 numbers up to 56772 share no factor with it.
- 4
The digits of 56772 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
\[ 56772 = 2^{2} \times 3^{2} \times 19 \times 83 \]56772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 17712 |
| Square | 3223059984 |
| Cube | 182979561411648 |
| Square root | 238.268756 (= 6√1577) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6772 × |
56772 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and seventy-two |
| Binary (base 2) | 1101110111000100 |
| Octal (base 8) | 156704 |
| Hexadecimal (base 16) | DDC4 |
| Base 3 | 2212212200 |
| As time | 56772 seconds = 15 h 46 min 12 s |
Is 56772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56772 ÷ 2 = 28386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56772 ÷ 3 = 18924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56772 ÷ 4 = 14193) | 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 (56772 ÷ 6 = 9462) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (56772 ÷ 9 = 6308) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56772 ÷ 12 = 4731) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56772 a prime number?
No. 56772 = × × 19 × 83, so it is divisible by 2.
What are the factors of 56772?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 83, 114, 166, 171, 228, 249, 332, 342, 498, 684, 747, 996, 1494, 1577, 2988, 3154, 4731, 6308, 9462, 14193, 18924, 28386, 56772.
What is 56772 in binary?
1101110111000100 (hexadecimal DDC4, octal 156704).
What is the square root of 56772?
About 238.2688, exactly 6√1577.
Is 56772 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 56772?
It is a composite number with 36 divisors.