The number 88132
88132 is a composite number with 12 divisors. Its prime factorisation is × 11 × 2003. Divisors (12): 1, 2, 4, 11, 22, 44, 2003, 4006, 8012, 22033, 44066, 88132.
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How to work it out
- 1
What is special about 88132: a Harshad number: divisible by its digit sum 22.
- 2
88132 is composite. Its prime factorisation is
- 3
The divisors add up to 168336; without 88132 itself that is 80204, so 88132 is deficient (80204 is less than 88132). Euler's totient φ(88132) = 40040 numbers up to 88132 share no factor with it.
- 4
The digits of 88132 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88132 = 2^{2} \times 11 \times 2003 \]88132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 168336 |
| Euler totient φ(n) | 40040 |
| Square | 7767249424 |
| Cube | 684543226235968 |
| Square root | 296.870342 (= 2√22033) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8132 × |
88132 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and thirty-two |
| Binary (base 2) | 10101100001000100 |
| Octal (base 8) | 254104 |
| Hexadecimal (base 16) | 15844 |
| Base 3 | 11110220011 |
| As time | 88132 seconds = 24 h 28 min 52 s |
Is 88132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88132 ÷ 2 = 44066) | 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 (88132 ÷ 4 = 22033) | 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 4) | 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 (88132 ÷ 11 = 8012) | 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 88132 a prime number?
No. 88132 = × 11 × 2003, so it is divisible by 2.
What are the factors of 88132?
1, 2, 4, 11, 22, 44, 2003, 4006, 8012, 22033, 44066, 88132.
What is 88132 in binary?
10101100001000100 (hexadecimal 15844, octal 254104).
What is the square root of 88132?
About 296.8703, exactly 2√22033.
Is 88132 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 88132?
88132 is a Harshad number: divisible by its digit sum 22.