The number 132
132 is a composite number with 12 divisors. Its prime factorisation is × 3 × 11. Divisors (12): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 132: a Harshad number: divisible by its digit sum 6.
- 2
132 is composite. Its prime factorisation is
- 3
The divisors add up to 336; without 132 itself that is 204, so 132 is abundant (204 is more than 132). Euler's totient φ(132) = 40 numbers up to 132 share no factor with it.
- 4
The digits of 132 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 132 = 2^{2} \times 3 \times 11 \]132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 336 |
| Euler totient φ(n) | 40 |
| Square | 17424 |
| Cube | 2299968 |
| Square root | 11.489125 (= 2√33) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 28 |
| Scientific notation | 1.32 × |
132 in other forms
| Form | Value |
|---|---|
| In words | one hundred and thirty-two |
| Roman numerals | CXXXII |
| Binary (base 2) | 10000100 |
| Octal (base 8) | 204 |
| Hexadecimal (base 16) | 84 |
| Base 3 | 11220 |
| As time | 132 seconds = 2 min 12 s |
Is 132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (132 ÷ 2 = 66) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (132 ÷ 3 = 44) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (132 ÷ 4 = 33) | 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 | Yes (132 ÷ 6 = 22) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 | Yes (132 ÷ 11 = 12) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (132 ÷ 12 = 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 132 a prime number?
No. 132 = × 3 × 11, so it is divisible by 2.
What are the factors of 132?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.
What is 132 in binary?
10000100 (hexadecimal 84, octal 204).
What is the square root of 132?
About 11.4891, exactly 2√33.
What is 132 in Roman numerals?
CXXXII.
Is 132 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 132?
132 is a Harshad number: divisible by its digit sum 6.