The number 18132
18132 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1511. Divisors (12): 1, 2, 3, 4, 6, 12, 1511, 3022, 4533, 6044, 9066, 18132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18132: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18132 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 18132 itself that is 24204, so 18132 is abundant (24204 is more than 18132). Euler's totient φ(18132) = 6040 numbers up to 18132 share no factor with it.
- 4
The digits of 18132 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18132 = 2^{2} \times 3 \times 1511 \]18132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 6040 |
| Square | 328769424 |
| Cube | 5961247195968 |
| Square root | 134.655115 (= 2√4533) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8132 × |
18132 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and thirty-two |
| Binary (base 2) | 100011011010100 |
| Octal (base 8) | 43324 |
| Hexadecimal (base 16) | 46D4 |
| Base 3 | 220212120 |
| As time | 18132 seconds = 5 h 2 min 12 s |
Is 18132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18132 ÷ 2 = 9066) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18132 ÷ 3 = 6044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18132 ÷ 4 = 4533) | 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 (18132 ÷ 6 = 3022) | 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 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18132 ÷ 12 = 1511) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18132 a prime number?
No. 18132 = × 3 × 1511, so it is divisible by 2.
What are the factors of 18132?
1, 2, 3, 4, 6, 12, 1511, 3022, 4533, 6044, 9066, 18132.
What is 18132 in binary?
100011011010100 (hexadecimal 46D4, octal 43324).
What is the square root of 18132?
About 134.6551, exactly 2√4533.
Is 18132 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18132?
18132 is a happy number: repeatedly adding the squares of its digits reaches 1.