The number 52012
52012 is a composite number with 6 divisors. Its prime factorisation is × 13003. Divisors (6): 1, 2, 4, 13003, 26006, 52012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52012 is composite. Its prime factorisation is
- 3
The divisors add up to 91028; without 52012 itself that is 39016, so 52012 is deficient (39016 is less than 52012). Euler's totient φ(52012) = 26004 numbers up to 52012 share no factor with it.
- 4
The digits of 52012 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52012 = 2^{2} \times 13003 \]52012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 91028 |
| Euler totient φ(n) | 26004 |
| Square | 2705248144 |
| Cube | 140705366465728 |
| Square root | 228.061395 (= 2√13003) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2012 × |
52012 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and twelve |
| Binary (base 2) | 1100101100101100 |
| Octal (base 8) | 145454 |
| Hexadecimal (base 16) | CB2C |
| Base 3 | 2122100101 |
| As time | 52012 seconds = 14 h 26 min 52 s |
Is 52012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52012 ÷ 2 = 26006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52012 ÷ 4 = 13003) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52012 a prime number?
No. 52012 = × 13003, so it is divisible by 2.
What are the factors of 52012?
1, 2, 4, 13003, 26006, 52012.
What is 52012 in binary?
1100101100101100 (hexadecimal CB2C, octal 145454).
What is the square root of 52012?
About 228.0614, exactly 2√13003.
Is 52012 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 52012?
It is a composite number with 6 divisors.