The number 88672
88672 is a composite number with 24 divisors. Its prime factorisation is × 17 × 163. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 163, 272, 326, 544, 652, 1304 … 88672.
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How to work it out
- 1
88672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88672 is composite. Its prime factorisation is
- 3
The divisors add up to 185976; without 88672 itself that is 97304, so 88672 is abundant (97304 is more than 88672). Euler's totient φ(88672) = 41472 numbers up to 88672 share no factor with it.
- 4
The digits of 88672 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88672 = 2^{5} \times 17 \times 163 \]88672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 185976 |
| Euler totient φ(n) | 41472 |
| Square | 7862723584 |
| Cube | 697203425640448 |
| Square root | 297.778441 (= 4√5542) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.8672 × |
88672 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand six hundred and seventy-two |
| Binary (base 2) | 10101101001100000 |
| Octal (base 8) | 255140 |
| Hexadecimal (base 16) | 15A60 |
| Base 3 | 11111122011 |
| As time | 88672 seconds = 24 h 37 min 52 s |
Is 88672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88672 ÷ 2 = 44336) | 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 (88672 ÷ 4 = 22168) | 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 3) | 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 (88672 ÷ 8 = 11084) | 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 | No (remainder 1) | 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 88672 a prime number?
No. 88672 = × 17 × 163, so it is divisible by 2.
What are the factors of 88672?
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 163, 272, 326, 544, 652, 1304, 2608, 2771, 5216, 5542, 11084, 22168, 44336, 88672.
What is 88672 in binary?
10101101001100000 (hexadecimal 15A60, octal 255140).
What is the square root of 88672?
About 297.7784, exactly 4√5542.
Is 88672 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 88672?
It is a composite number with 24 divisors.