The number 88992
88992 is a composite number with 48 divisors. Its prime factorisation is × × 103. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 88992.
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How to work it out
- 1
What is special about 88992: a Harshad number: divisible by its digit sum 36.
- 2
88992 is composite. Its prime factorisation is
- 3
The divisors add up to 262080; without 88992 itself that is 173088, so 88992 is abundant (173088 is more than 88992). Euler's totient φ(88992) = 29376 numbers up to 88992 share no factor with it.
- 4
The digits of 88992 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88992 = 2^{5} \times 3^{3} \times 103 \]88992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 262080 |
| Euler totient φ(n) | 29376 |
| Square | 7919576064 |
| Cube | 704778913087488 |
| Square root | 298.315269 (= 12√618) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8992 × |
88992 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and ninety-two |
| Binary (base 2) | 10101101110100000 |
| Octal (base 8) | 255640 |
| Hexadecimal (base 16) | 15BA0 |
| Base 3 | 11112002000 |
| As time | 88992 seconds = 24 h 43 min 12 s |
Is 88992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88992 ÷ 2 = 44496) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88992 ÷ 3 = 29664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88992 ÷ 4 = 22248) | 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 (88992 ÷ 6 = 14832) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (88992 ÷ 8 = 11124) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88992 ÷ 9 = 9888) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88992 ÷ 12 = 7416) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88992 a prime number?
No. 88992 = × × 103, so it is divisible by 2.
What are the factors of 88992?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 103, 108, 144, 206, 216, 288, 309, 412, 432, 618, 824, 864, 927, 1236, 1648, 1854, 2472, 2781, 3296, 3708, 4944, 5562, 7416, 9888, 11124, 14832, 22248, 29664, 44496, 88992.
What is 88992 in binary?
10101101110100000 (hexadecimal 15BA0, octal 255640).
What is the square root of 88992?
About 298.3153, exactly 12√618.
Is 88992 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 88992?
88992 is a Harshad number: divisible by its digit sum 36.