The number 13130
13130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 101. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 101, 130, 202, 505, 1010, 1313, 2626, 6565, 13130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13130 is composite. Its prime factorisation is
- 3
The divisors add up to 25704; without 13130 itself that is 12574, so 13130 is deficient (12574 is less than 13130). Euler's totient φ(13130) = 4800 numbers up to 13130 share no factor with it.
- 4
The digits of 13130 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13130 = 2 \times 5 \times 13 \times 101 \]
13130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25704 |
| Euler totient φ(n) | 4800 |
| Square | 172396900 |
| Cube | 2263571297000 |
| Square root | 114.586212 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.313 × |
13130 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty |
| Binary (base 2) | 11001101001010 |
| Octal (base 8) | 31512 |
| Hexadecimal (base 16) | 334A |
| Base 3 | 200000022 |
| As time | 13130 seconds = 3 h 38 min 50 s |
Is 13130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13130 ÷ 2 = 6565) | 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 (13130 ÷ 5 = 2626) | 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 5) | 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 (13130 ÷ 10 = 1313) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13130 a prime number?
No. 13130 = 2 × 5 × 13 × 101, so it is divisible by 2.
What are the factors of 13130?
1, 2, 5, 10, 13, 26, 65, 101, 130, 202, 505, 1010, 1313, 2626, 6565, 13130.
What is 13130 in binary?
11001101001010 (hexadecimal 334A, octal 31512).
What is the square root of 13130?
About 114.5862.
Is 13130 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13130?
It is a composite number with 16 divisors.