The number 52004
52004 is a composite number with 6 divisors. Its prime factorisation is × 13001. Divisors (6): 1, 2, 4, 13001, 26002, 52004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52004 is composite. Its prime factorisation is
- 3
The divisors add up to 91014; without 52004 itself that is 39010, so 52004 is deficient (39010 is less than 52004). Euler's totient φ(52004) = 26000 numbers up to 52004 share no factor with it.
- 4
The digits of 52004 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52004 = 2^{2} \times 13001 \]52004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 91014 |
| Euler totient φ(n) | 26000 |
| Square | 2704416016 |
| Cube | 140640450496064 |
| Square root | 228.043855 (= 2√13001) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2004 × |
52004 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and four |
| Binary (base 2) | 1100101100100100 |
| Octal (base 8) | 145444 |
| Hexadecimal (base 16) | CB24 |
| Base 3 | 2122100002 |
| As time | 52004 seconds = 14 h 26 min 44 s |
Is 52004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52004 ÷ 2 = 26002) | 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 (52004 ÷ 4 = 13001) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 1) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 52004 a prime number?
No. 52004 = × 13001, so it is divisible by 2.
What are the factors of 52004?
1, 2, 4, 13001, 26002, 52004.
What is 52004 in binary?
1100101100100100 (hexadecimal CB24, octal 145444).
What is the square root of 52004?
About 228.0439, exactly 2√13001.
Is 52004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 52004?
It is a composite number with 6 divisors.