The number 52992
52992 is a composite number with 54 divisors. Its prime factorisation is × × 23. Divisors (54): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48 … 52992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52992 is composite. Its prime factorisation is
- 3
The divisors add up to 159432; without 52992 itself that is 106440, so 52992 is abundant (106440 is more than 52992). Euler's totient φ(52992) = 16896 numbers up to 52992 share no factor with it.
- 4
The digits of 52992 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52992 = 2^{8} \times 3^{2} \times 23 \]52992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 159432 |
| Euler totient φ(n) | 16896 |
| Square | 2808152064 |
| Cube | 148809594175488 |
| Square root | 230.199913 (= 48√23) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.2992 × |
52992 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred and ninety-two |
| Binary (base 2) | 1100111100000000 |
| Octal (base 8) | 147400 |
| Hexadecimal (base 16) | CF00 |
| Base 3 | 2200200200 |
| As time | 52992 seconds = 14 h 43 min 12 s |
Is 52992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52992 ÷ 2 = 26496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52992 ÷ 3 = 17664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52992 ÷ 4 = 13248) | 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 (52992 ÷ 6 = 8832) | 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 | Yes (52992 ÷ 8 = 6624) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52992 ÷ 9 = 5888) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52992 ÷ 12 = 4416) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52992 a prime number?
No. 52992 = × × 23, so it is divisible by 2.
What are the factors of 52992?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 128, 138, 144, 184, 192, 207, 256, 276, 288, 368, 384, 414, 552, 576, 736, 768, 828, 1104, 1152, 1472, 1656, 2208, 2304, 2944, 3312, 4416, 5888, 6624, 8832, 13248, 17664, 26496, 52992.
What is 52992 in binary?
1100111100000000 (hexadecimal CF00, octal 147400).
What is the square root of 52992?
About 230.1999, exactly 48√23.
Is 52992 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 52992?
It is a composite number with 54 divisors.