The number 52005
52005 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 3467. Divisors (8): 1, 3, 5, 15, 3467, 10401, 17335, 52005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52005 is composite. Its prime factorisation is
- 3
The divisors add up to 83232; without 52005 itself that is 31227, so 52005 is deficient (31227 is less than 52005). Euler's totient φ(52005) = 27728 numbers up to 52005 share no factor with it.
- 4
The digits of 52005 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52005 = 3 \times 5 \times 3467 \]
52005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 83232 |
| Euler totient φ(n) | 27728 |
| Square | 2704520025 |
| Cube | 140648563900125 |
| Square root | 228.046048 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2005 × |
52005 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and five |
| Binary (base 2) | 1100101100100101 |
| Octal (base 8) | 145445 |
| Hexadecimal (base 16) | CB25 |
| Base 3 | 2122100010 |
| As time | 52005 seconds = 14 h 26 min 45 s |
Is 52005 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52005 ÷ 3 = 17335) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52005 ÷ 5 = 10401) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 5) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52005 a prime number?
No. 52005 = 3 × 5 × 3467, so it is divisible by 3.
What are the factors of 52005?
1, 3, 5, 15, 3467, 10401, 17335, 52005.
What is 52005 in binary?
1100101100100101 (hexadecimal CB25, octal 145445).
What is the square root of 52005?
About 228.0460.
Is 52005 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 52005?
It is a composite number with 8 divisors.