The number 52130
52130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 401. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 401, 802, 2005, 4010, 5213, 10426, 26065, 52130.
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How to work it out
- 1
52130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52130 is composite. Its prime factorisation is
- 3
The divisors add up to 101304; without 52130 itself that is 49174, so 52130 is deficient (49174 is less than 52130). Euler's totient φ(52130) = 19200 numbers up to 52130 share no factor with it.
- 4
The digits of 52130 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52130 = 2 \times 5 \times 13 \times 401 \]
52130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101304 |
| Euler totient φ(n) | 19200 |
| Square | 2717536900 |
| Cube | 141665198597000 |
| Square root | 228.319951 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.213 × |
52130 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and thirty |
| Binary (base 2) | 1100101110100010 |
| Octal (base 8) | 145642 |
| Hexadecimal (base 16) | CBA2 |
| Base 3 | 2122111202 |
| As time | 52130 seconds = 14 h 28 min 50 s |
Is 52130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52130 ÷ 2 = 26065) | 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 (52130 ÷ 5 = 10426) | 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 2) | 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 | Yes (52130 ÷ 10 = 5213) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 52130 a prime number?
No. 52130 = 2 × 5 × 13 × 401, so it is divisible by 2.
What are the factors of 52130?
1, 2, 5, 10, 13, 26, 65, 130, 401, 802, 2005, 4010, 5213, 10426, 26065, 52130.
What is 52130 in binary?
1100101110100010 (hexadecimal CBA2, octal 145642).
What is the square root of 52130?
About 228.3200.
Is 52130 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 52130?
It is a composite number with 16 divisors.