The number 55992
55992 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2333. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2333, 4666, 6999, 9332, 13998, 18664, 27996, 55992.
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How to work it out
- 1
55992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55992 is composite. Its prime factorisation is
- 3
The divisors add up to 140040; without 55992 itself that is 84048, so 55992 is abundant (84048 is more than 55992). Euler's totient φ(55992) = 18656 numbers up to 55992 share no factor with it.
- 4
The digits of 55992 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55992 = 2^{3} \times 3 \times 2333 \]55992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 140040 |
| Euler totient φ(n) | 18656 |
| Square | 3135104064 |
| Cube | 175540746751488 |
| Square root | 236.626288 (= 2√13998) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5992 × |
55992 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and ninety-two |
| Binary (base 2) | 1101101010111000 |
| Octal (base 8) | 155270 |
| Hexadecimal (base 16) | DAB8 |
| Base 3 | 2211210210 |
| As time | 55992 seconds = 15 h 33 min 12 s |
Is 55992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55992 ÷ 2 = 27996) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55992 ÷ 3 = 18664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55992 ÷ 4 = 13998) | 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 (55992 ÷ 6 = 9332) | 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 | Yes (55992 ÷ 8 = 6999) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55992 ÷ 12 = 4666) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55992 a prime number?
No. 55992 = × 3 × 2333, so it is divisible by 2.
What are the factors of 55992?
1, 2, 3, 4, 6, 8, 12, 24, 2333, 4666, 6999, 9332, 13998, 18664, 27996, 55992.
What is 55992 in binary?
1101101010111000 (hexadecimal DAB8, octal 155270).
What is the square root of 55992?
About 236.6263, exactly 2√13998.
Is 55992 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 55992?
It is a composite number with 16 divisors.