The number 67132
67132 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1291. Divisors (12): 1, 2, 4, 13, 26, 52, 1291, 2582, 5164, 16783, 33566, 67132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67132 is composite. Its prime factorisation is
- 3
The divisors add up to 126616; without 67132 itself that is 59484, so 67132 is deficient (59484 is less than 67132). Euler's totient φ(67132) = 30960 numbers up to 67132 share no factor with it.
- 4
The digits of 67132 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67132 = 2^{2} \times 13 \times 1291 \]67132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126616 |
| Euler totient φ(n) | 30960 |
| Square | 4506705424 |
| Cube | 302544148523968 |
| Square root | 259.098437 (= 2√16783) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7132 × |
67132 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty-two |
| Binary (base 2) | 10000011000111100 |
| Octal (base 8) | 203074 |
| Hexadecimal (base 16) | 1063C |
| Base 3 | 10102002101 |
| As time | 67132 seconds = 18 h 38 min 52 s |
Is 67132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67132 ÷ 2 = 33566) | 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 (67132 ÷ 4 = 16783) | 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 | No (remainder 2) | 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 10) | 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 67132 a prime number?
No. 67132 = × 13 × 1291, so it is divisible by 2.
What are the factors of 67132?
1, 2, 4, 13, 26, 52, 1291, 2582, 5164, 16783, 33566, 67132.
What is 67132 in binary?
10000011000111100 (hexadecimal 1063C, octal 203074).
What is the square root of 67132?
About 259.0984, exactly 2√16783.
Is 67132 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67132?
It is a composite number with 12 divisors.