The number 52008
52008 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 197. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 197 … 52008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52008 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 52008 itself that is 90552, so 52008 is abundant (90552 is more than 52008). Euler's totient φ(52008) = 15680 numbers up to 52008 share no factor with it.
- 4
The digits of 52008 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52008 = 2^{3} \times 3 \times 11 \times 197 \]52008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 15680 |
| Square | 2704832064 |
| Cube | 140672905984512 |
| Square root | 228.052626 (= 2√13002) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2008 × |
52008 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and eight |
| Binary (base 2) | 1100101100101000 |
| Octal (base 8) | 145450 |
| Hexadecimal (base 16) | CB28 |
| Base 3 | 2122100020 |
| As time | 52008 seconds = 14 h 26 min 48 s |
Is 52008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52008 ÷ 2 = 26004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52008 ÷ 3 = 17336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52008 ÷ 4 = 13002) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52008 ÷ 6 = 8668) | 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 (52008 ÷ 8 = 6501) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (52008 ÷ 11 = 4728) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52008 ÷ 12 = 4334) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52008 a prime number?
No. 52008 = × 3 × 11 × 197, so it is divisible by 2.
What are the factors of 52008?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 197, 264, 394, 591, 788, 1182, 1576, 2167, 2364, 4334, 4728, 6501, 8668, 13002, 17336, 26004, 52008.
What is 52008 in binary?
1100101100101000 (hexadecimal CB28, octal 145450).
What is the square root of 52008?
About 228.0526, exactly 2√13002.
Is 52008 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 52008?
It is a composite number with 32 divisors.