The number 54992
54992 is a composite number with 20 divisors. Its prime factorisation is × 7 × 491. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 491, 982, 1964, 3437, 3928, 6874 … 54992.
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How to work it out
- 1
54992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54992 is composite. Its prime factorisation is
- 3
The divisors add up to 122016; without 54992 itself that is 67024, so 54992 is abundant (67024 is more than 54992). Euler's totient φ(54992) = 23520 numbers up to 54992 share no factor with it.
- 4
The digits of 54992 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54992 = 2^{4} \times 7 \times 491 \]54992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 122016 |
| Euler totient φ(n) | 23520 |
| Square | 3024120064 |
| Cube | 166302410559488 |
| Square root | 234.503731 (= 4√3437) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.4992 × |
54992 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and ninety-two |
| Binary (base 2) | 1101011011010000 |
| Octal (base 8) | 153320 |
| Hexadecimal (base 16) | D6D0 |
| Base 3 | 2210102202 |
| As time | 54992 seconds = 15 h 16 min 32 s |
Is 54992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54992 ÷ 2 = 27496) | 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 (54992 ÷ 4 = 13748) | 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 (54992 ÷ 7 = 7856) | 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 (54992 ÷ 8 = 6874) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 54992 a prime number?
No. 54992 = × 7 × 491, so it is divisible by 2.
What are the factors of 54992?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 491, 982, 1964, 3437, 3928, 6874, 7856, 13748, 27496, 54992.
What is 54992 in binary?
1101011011010000 (hexadecimal D6D0, octal 153320).
What is the square root of 54992?
About 234.5037, exactly 4√3437.
Is 54992 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 54992?
It is a composite number with 20 divisors.