The number 88072
88072 is a composite number with 16 divisors. Its prime factorisation is × 101 × 109. Divisors (16): 1, 2, 4, 8, 101, 109, 202, 218, 404, 436, 808, 872, 11009, 22018, 44036, 88072.
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How to work it out
- 1
88072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88072 is composite. Its prime factorisation is
- 3
The divisors add up to 168300; without 88072 itself that is 80228, so 88072 is deficient (80228 is less than 88072). Euler's totient φ(88072) = 43200 numbers up to 88072 share no factor with it.
- 4
The digits of 88072 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88072 = 2^{3} \times 101 \times 109 \]88072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 168300 |
| Euler totient φ(n) | 43200 |
| Square | 7756677184 |
| Cube | 683146072949248 |
| Square root | 296.769271 (= 2√22018) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8072 × |
88072 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and seventy-two |
| Binary (base 2) | 10101100000001000 |
| Octal (base 8) | 254010 |
| Hexadecimal (base 16) | 15808 |
| Base 3 | 11110210221 |
| As time | 88072 seconds = 24 h 27 min 52 s |
Is 88072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88072 ÷ 2 = 44036) | 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 (88072 ÷ 4 = 22018) | 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 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 (88072 ÷ 8 = 11009) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 88072 a prime number?
No. 88072 = × 101 × 109, so it is divisible by 2.
What are the factors of 88072?
1, 2, 4, 8, 101, 109, 202, 218, 404, 436, 808, 872, 11009, 22018, 44036, 88072.
What is 88072 in binary?
10101100000001000 (hexadecimal 15808, octal 254010).
What is the square root of 88072?
About 296.7693, exactly 2√22018.
Is 88072 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88072?
It is a composite number with 16 divisors.