The number 56992
56992 is a composite number with 24 divisors. Its prime factorisation is × 13 × 137. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 137, 208, 274, 416, 548, 1096 … 56992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56992 is composite. Its prime factorisation is
- 3
The divisors add up to 121716; without 56992 itself that is 64724, so 56992 is abundant (64724 is more than 56992). Euler's totient φ(56992) = 26112 numbers up to 56992 share no factor with it.
- 4
The digits of 56992 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56992 = 2^{5} \times 13 \times 137 \]56992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 121716 |
| Euler totient φ(n) | 26112 |
| Square | 3248088064 |
| Cube | 185115034943488 |
| Square root | 238.729973 (= 4√3562) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.6992 × |
56992 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand nine hundred and ninety-two |
| Binary (base 2) | 1101111010100000 |
| Octal (base 8) | 157240 |
| Hexadecimal (base 16) | DEA0 |
| Base 3 | 2220011211 |
| As time | 56992 seconds = 15 h 49 min 52 s |
Is 56992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56992 ÷ 2 = 28496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56992 ÷ 4 = 14248) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (56992 ÷ 8 = 7124) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56992 a prime number?
No. 56992 = × 13 × 137, so it is divisible by 2.
What are the factors of 56992?
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 137, 208, 274, 416, 548, 1096, 1781, 2192, 3562, 4384, 7124, 14248, 28496, 56992.
What is 56992 in binary?
1101111010100000 (hexadecimal DEA0, octal 157240).
What is the square root of 56992?
About 238.7300, exactly 4√3562.
Is 56992 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 56992?
It is a composite number with 24 divisors.