The number 13132
13132 is a composite number with 18 divisors. Its prime factorisation is × × 67. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 67, 98, 134, 196, 268, 469, 938, 1876, 3283 … 13132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13132 is composite. Its prime factorisation is
- 3
The divisors add up to 27132; without 13132 itself that is 14000, so 13132 is abundant (14000 is more than 13132). Euler's totient φ(13132) = 5544 numbers up to 13132 share no factor with it.
- 4
The digits of 13132 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13132 = 2^{2} \times 7^{2} \times 67 \]13132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 27132 |
| Euler totient φ(n) | 5544 |
| Square | 172449424 |
| Cube | 2264605835968 |
| Square root | 114.594939 (= 14√67) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3132 × |
13132 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty-two |
| Binary (base 2) | 11001101001100 |
| Octal (base 8) | 31514 |
| Hexadecimal (base 16) | 334C |
| Base 3 | 200000101 |
| As time | 13132 seconds = 3 h 38 min 52 s |
Is 13132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13132 ÷ 2 = 6566) | 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 (13132 ÷ 4 = 3283) | 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 | Yes (13132 ÷ 7 = 1876) | 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 9) | 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 13132 a prime number?
No. 13132 = × × 67, so it is divisible by 2.
What are the factors of 13132?
1, 2, 4, 7, 14, 28, 49, 67, 98, 134, 196, 268, 469, 938, 1876, 3283, 6566, 13132.
What is 13132 in binary?
11001101001100 (hexadecimal 334C, octal 31514).
What is the square root of 13132?
About 114.5949, exactly 14√67.
Is 13132 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13132?
It is a composite number with 18 divisors.