The number 88272
88272 is a composite number with 30 divisors. Its prime factorisation is × × 613. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 613 … 88272.
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How to work it out
- 1
88272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88272 is composite. Its prime factorisation is
- 3
The divisors add up to 247442; without 88272 itself that is 159170, so 88272 is abundant (159170 is more than 88272). Euler's totient φ(88272) = 29376 numbers up to 88272 share no factor with it.
- 4
The digits of 88272 add up to 27, 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
\[ 88272 = 2^{4} \times 3^{2} \times 613 \]88272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 247442 |
| Euler totient φ(n) | 29376 |
| Square | 7791945984 |
| Cube | 687810655899648 |
| Square root | 297.106042 (= 12√613) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8272 × |
88272 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand two hundred and seventy-two |
| Binary (base 2) | 10101100011010000 |
| Octal (base 8) | 254320 |
| Hexadecimal (base 16) | 158D0 |
| Base 3 | 11111002100 |
| As time | 88272 seconds = 24 h 31 min 12 s |
Is 88272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88272 ÷ 2 = 44136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88272 ÷ 3 = 29424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88272 ÷ 4 = 22068) | 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 (88272 ÷ 6 = 14712) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (88272 ÷ 8 = 11034) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88272 ÷ 9 = 9808) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88272 ÷ 12 = 7356) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88272 a prime number?
No. 88272 = × × 613, so it is divisible by 2.
What are the factors of 88272?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 613, 1226, 1839, 2452, 3678, 4904, 5517, 7356, 9808, 11034, 14712, 22068, 29424, 44136, 88272.
What is 88272 in binary?
10101100011010000 (hexadecimal 158D0, octal 254320).
What is the square root of 88272?
About 297.1060, exactly 12√613.
Is 88272 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 88272?
It is a composite number with 30 divisors.