The number 56672
56672 is a composite number with 48 divisors. Its prime factorisation is × 7 × 11 × 23. Divisors (48): 1, 2, 4, 7, 8, 11, 14, 16, 22, 23, 28, 32, 44, 46, 56, 77 … 56672.
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How to work it out
- 1
56672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56672 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 56672 itself that is 88480, so 56672 is abundant (88480 is more than 56672). Euler's totient φ(56672) = 21120 numbers up to 56672 share no factor with it.
- 4
The digits of 56672 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56672 = 2^{5} \times 7 \times 11 \times 23 \]56672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 21120 |
| Square | 3211715584 |
| Cube | 182014345576448 |
| Square root | 238.058816 (= 4√3542) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6672 × |
56672 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand six hundred and seventy-two |
| Binary (base 2) | 1101110101100000 |
| Octal (base 8) | 156540 |
| Hexadecimal (base 16) | DD60 |
| Base 3 | 2212201222 |
| As time | 56672 seconds = 15 h 44 min 32 s |
Is 56672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56672 ÷ 2 = 28336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56672 ÷ 4 = 14168) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (56672 ÷ 7 = 8096) | 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 (56672 ÷ 8 = 7084) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (56672 ÷ 11 = 5152) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56672 a prime number?
No. 56672 = × 7 × 11 × 23, so it is divisible by 2.
What are the factors of 56672?
1, 2, 4, 7, 8, 11, 14, 16, 22, 23, 28, 32, 44, 46, 56, 77, 88, 92, 112, 154, 161, 176, 184, 224, 253, 308, 322, 352, 368, 506, 616, 644, 736, 1012, 1232, 1288, 1771, 2024, 2464, 2576, 3542, 4048, 5152, 7084, 8096, 14168, 28336, 56672.
What is 56672 in binary?
1101110101100000 (hexadecimal DD60, octal 156540).
What is the square root of 56672?
About 238.0588, exactly 4√3542.
Is 56672 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 56672?
It is a composite number with 48 divisors.