The number 52007
52007 is a composite number with 4 divisors. Its prime factorisation is 131 × 397. Divisors (4): 1, 131, 397, 52007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52007: a semiprime: 131 × 397, the product of two primes.
- 2
52007 is composite. Its prime factorisation is
- 3
The divisors add up to 52536; without 52007 itself that is 529, so 52007 is deficient (529 is less than 52007). Euler's totient φ(52007) = 51480 numbers up to 52007 share no factor with it.
- 4
The digits of 52007 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52007 = 131 \times 397 \]
52007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 52536 |
| Euler totient φ(n) | 51480 |
| Square | 2704728049 |
| Cube | 140664791644343 |
| Square root | 228.050433 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.2007 × |
52007 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and seven |
| Binary (base 2) | 1100101100100111 |
| Octal (base 8) | 145447 |
| Hexadecimal (base 16) | CB27 |
| Base 3 | 2122100012 |
| As time | 52007 seconds = 14 h 26 min 47 s |
Is 52007 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52007 a prime number?
No. 52007 = 131 × 397, so it is divisible by 131.
What are the factors of 52007?
1, 131, 397, 52007.
What is 52007 in binary?
1100101100100111 (hexadecimal CB27, octal 145447).
What is the square root of 52007?
About 228.0504.
Is 52007 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 52007?
52007 is a semiprime: 131 × 397, the product of two primes.