The number 81132
81132 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6761. Divisors (12): 1, 2, 3, 4, 6, 12, 6761, 13522, 20283, 27044, 40566, 81132.
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How to work it out
- 1
What is special about 81132: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
81132 is composite. Its prime factorisation is
- 3
The divisors add up to 189336; without 81132 itself that is 108204, so 81132 is abundant (108204 is more than 81132). Euler's totient φ(81132) = 27040 numbers up to 81132 share no factor with it.
- 4
The digits of 81132 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 81132 = 2^{2} \times 3 \times 6761 \]81132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 189336 |
| Euler totient φ(n) | 27040 |
| Square | 6582401424 |
| Cube | 534043392331968 |
| Square root | 284.836795 (= 2√20283) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.1132 × |
81132 in other forms
| Form | Value |
|---|---|
| In words | eighty-one thousand one hundred and thirty-two |
| Binary (base 2) | 10011110011101100 |
| Octal (base 8) | 236354 |
| Hexadecimal (base 16) | 13CEC |
| Base 3 | 11010021220 |
| As time | 81132 seconds = 22 h 32 min 12 s |
Is 81132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (81132 ÷ 2 = 40566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (81132 ÷ 3 = 27044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (81132 ÷ 4 = 20283) | 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 (81132 ÷ 6 = 13522) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (81132 ÷ 12 = 6761) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 81132 a prime number?
No. 81132 = × 3 × 6761, so it is divisible by 2.
What are the factors of 81132?
1, 2, 3, 4, 6, 12, 6761, 13522, 20283, 27044, 40566, 81132.
What is 81132 in binary?
10011110011101100 (hexadecimal 13CEC, octal 236354).
What is the square root of 81132?
About 284.8368, exactly 2√20283.
Is 81132 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 81132?
81132 is a happy number: repeatedly adding the squares of its digits reaches 1.