The number 88016
88016 is a composite number with 10 divisors. Its prime factorisation is × 5501. Divisors (10): 1, 2, 4, 8, 16, 5501, 11002, 22004, 44008, 88016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88016 is composite. Its prime factorisation is
- 3
The divisors add up to 170562; without 88016 itself that is 82546, so 88016 is deficient (82546 is less than 88016). Euler's totient φ(88016) = 44000 numbers up to 88016 share no factor with it.
- 4
The digits of 88016 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88016 = 2^{4} \times 5501 \]88016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 170562 |
| Euler totient φ(n) | 44000 |
| Square | 7746816256 |
| Cube | 681843779588096 |
| Square root | 296.674906 (= 4√5501) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.8016 × |
88016 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and sixteen |
| Binary (base 2) | 10101011111010000 |
| Octal (base 8) | 253720 |
| Hexadecimal (base 16) | 157D0 |
| Base 3 | 11110201212 |
| As time | 88016 seconds = 24 h 26 min 56 s |
Is 88016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88016 ÷ 2 = 44008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88016 ÷ 4 = 22004) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (88016 ÷ 8 = 11002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88016 a prime number?
No. 88016 = × 5501, so it is divisible by 2.
What are the factors of 88016?
1, 2, 4, 8, 16, 5501, 11002, 22004, 44008, 88016.
What is 88016 in binary?
10101011111010000 (hexadecimal 157D0, octal 253720).
What is the square root of 88016?
About 296.6749, exactly 4√5501.
Is 88016 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 88016?
It is a composite number with 10 divisors.