The number 88764
88764 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 569. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 569, 1138, 1707, 2276 … 88764.
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How to work it out
- 1
88764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88764 is composite. Its prime factorisation is
- 3
The divisors add up to 223440; without 88764 itself that is 134676, so 88764 is abundant (134676 is more than 88764). Euler's totient φ(88764) = 27264 numbers up to 88764 share no factor with it.
- 4
The digits of 88764 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88764 = 2^{2} \times 3 \times 13 \times 569 \]88764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 223440 |
| Euler totient φ(n) | 27264 |
| Square | 7879047696 |
| Cube | 699375789687744 |
| Square root | 297.932878 (= 2√22191) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.8764 × |
88764 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand seven hundred and sixty-four |
| Binary (base 2) | 10101101010111100 |
| Octal (base 8) | 255274 |
| Hexadecimal (base 16) | 15ABC |
| Base 3 | 11111202120 |
| As time | 88764 seconds = 24 h 39 min 24 s |
Is 88764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88764 ÷ 2 = 44382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88764 ÷ 3 = 29588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88764 ÷ 4 = 22191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88764 ÷ 6 = 14794) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88764 ÷ 12 = 7397) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88764 a prime number?
No. 88764 = × 3 × 13 × 569, so it is divisible by 2.
What are the factors of 88764?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 569, 1138, 1707, 2276, 3414, 6828, 7397, 14794, 22191, 29588, 44382, 88764.
What is 88764 in binary?
10101101010111100 (hexadecimal 15ABC, octal 255274).
What is the square root of 88764?
About 297.9329, exactly 2√22191.
Is 88764 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 88764?
It is a composite number with 24 divisors.