The number 80132
80132 is a composite number with 24 divisors. Its prime factorisation is × 13 × 23 × 67. Divisors (24): 1, 2, 4, 13, 23, 26, 46, 52, 67, 92, 134, 268, 299, 598, 871, 1196 … 80132.
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How to work it out
- 1
80132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80132 is composite. Its prime factorisation is
- 3
The divisors add up to 159936; without 80132 itself that is 79804, so 80132 is deficient (79804 is less than 80132). Euler's totient φ(80132) = 34848 numbers up to 80132 share no factor with it.
- 4
The digits of 80132 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80132 = 2^{2} \times 13 \times 23 \times 67 \]80132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 159936 |
| Euler totient φ(n) | 34848 |
| Square | 6421137424 |
| Cube | 514538584059968 |
| Square root | 283.075962 (= 2√20033) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0132 × |
80132 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and thirty-two |
| Binary (base 2) | 10011100100000100 |
| Octal (base 8) | 234404 |
| Hexadecimal (base 16) | 13904 |
| Base 3 | 11001220212 |
| As time | 80132 seconds = 22 h 15 min 32 s |
Is 80132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80132 ÷ 2 = 40066) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80132 ÷ 4 = 20033) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80132 a prime number?
No. 80132 = × 13 × 23 × 67, so it is divisible by 2.
What are the factors of 80132?
1, 2, 4, 13, 23, 26, 46, 52, 67, 92, 134, 268, 299, 598, 871, 1196, 1541, 1742, 3082, 3484, 6164, 20033, 40066, 80132.
What is 80132 in binary?
10011100100000100 (hexadecimal 13904, octal 234404).
What is the square root of 80132?
About 283.0760, exactly 2√20033.
Is 80132 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 80132?
It is a composite number with 24 divisors.