The number 52010
52010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 743. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 743, 1486, 3715, 5201, 7430, 10402, 26005, 52010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52010 is composite. Its prime factorisation is
- 3
The divisors add up to 107136; without 52010 itself that is 55126, so 52010 is abundant (55126 is more than 52010). Euler's totient φ(52010) = 17808 numbers up to 52010 share no factor with it.
- 4
The digits of 52010 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52010 = 2 \times 5 \times 7 \times 743 \]
52010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107136 |
| Euler totient φ(n) | 17808 |
| Square | 2705040100 |
| Cube | 140689135601000 |
| Square root | 228.057010 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.201 × |
52010 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and ten |
| Binary (base 2) | 1100101100101010 |
| Octal (base 8) | 145452 |
| Hexadecimal (base 16) | CB2A |
| Base 3 | 2122100022 |
| As time | 52010 seconds = 14 h 26 min 50 s |
Is 52010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52010 ÷ 2 = 26005) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52010 ÷ 5 = 10402) | 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 | Yes (52010 ÷ 7 = 7430) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52010 ÷ 10 = 5201) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52010 a prime number?
No. 52010 = 2 × 5 × 7 × 743, so it is divisible by 2.
What are the factors of 52010?
1, 2, 5, 7, 10, 14, 35, 70, 743, 1486, 3715, 5201, 7430, 10402, 26005, 52010.
What is 52010 in binary?
1100101100101010 (hexadecimal CB2A, octal 145452).
What is the square root of 52010?
About 228.0570.
Is 52010 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 52010?
It is a composite number with 16 divisors.