The number 88732
88732 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3169. Divisors (12): 1, 2, 4, 7, 14, 28, 3169, 6338, 12676, 22183, 44366, 88732.
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How to work it out
- 1
What is special about 88732: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
88732 is composite. Its prime factorisation is
- 3
The divisors add up to 177520; without 88732 itself that is 88788, so 88732 is abundant (88788 is more than 88732). Euler's totient φ(88732) = 38016 numbers up to 88732 share no factor with it.
- 4
The digits of 88732 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88732 = 2^{2} \times 7 \times 3169 \]88732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 177520 |
| Euler totient φ(n) | 38016 |
| Square | 7873367824 |
| Cube | 698619673759168 |
| Square root | 297.879170 (= 2√22183) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.8732 × |
88732 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand seven hundred and thirty-two |
| Binary (base 2) | 10101101010011100 |
| Octal (base 8) | 255234 |
| Hexadecimal (base 16) | 15A9C |
| Base 3 | 11111201101 |
| As time | 88732 seconds = 24 h 38 min 52 s |
Is 88732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88732 ÷ 2 = 44366) | 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 (88732 ÷ 4 = 22183) | 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 | Yes (88732 ÷ 7 = 12676) | 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 1) | 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 6) | 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 88732 a prime number?
No. 88732 = × 7 × 3169, so it is divisible by 2.
What are the factors of 88732?
1, 2, 4, 7, 14, 28, 3169, 6338, 12676, 22183, 44366, 88732.
What is 88732 in binary?
10101101010011100 (hexadecimal 15A9C, octal 255234).
What is the square root of 88732?
About 297.8792, exactly 2√22183.
Is 88732 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88732?
88732 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.