The number 88968
88968 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 337. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264 … 88968.
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How to work it out
- 1
88968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88968 is composite. Its prime factorisation is
- 3
The divisors add up to 243360; without 88968 itself that is 154392, so 88968 is abundant (154392 is more than 88968). Euler's totient φ(88968) = 26880 numbers up to 88968 share no factor with it.
- 4
The digits of 88968 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88968 = 2^{3} \times 3 \times 11 \times 337 \]88968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 243360 |
| Euler totient φ(n) | 26880 |
| Square | 7915305024 |
| Cube | 704208857375232 |
| Square root | 298.275041 (= 2√22242) |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8968 × |
88968 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and sixty-eight |
| Binary (base 2) | 10101101110001000 |
| Octal (base 8) | 255610 |
| Hexadecimal (base 16) | 15B88 |
| Base 3 | 11112001010 |
| As time | 88968 seconds = 24 h 42 min 48 s |
Is 88968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88968 ÷ 2 = 44484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88968 ÷ 3 = 29656) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88968 ÷ 4 = 22242) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88968 ÷ 6 = 14828) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (88968 ÷ 8 = 11121) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88968 ÷ 11 = 8088) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88968 ÷ 12 = 7414) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88968 a prime number?
No. 88968 = × 3 × 11 × 337, so it is divisible by 2.
What are the factors of 88968?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 337, 674, 1011, 1348, 2022, 2696, 3707, 4044, 7414, 8088, 11121, 14828, 22242, 29656, 44484, 88968.
What is 88968 in binary?
10101101110001000 (hexadecimal 15B88, octal 255610).
What is the square root of 88968?
About 298.2750, exactly 2√22242.
Is 88968 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 88968?
It is a composite number with 32 divisors.