The number 88880
88880 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 101. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 101 … 88880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88880 is composite. Its prime factorisation is
- 3
The divisors add up to 227664; without 88880 itself that is 138784, so 88880 is abundant (138784 is more than 88880). Euler's totient φ(88880) = 32000 numbers up to 88880 share no factor with it.
- 4
The digits of 88880 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88880 = 2^{4} \times 5 \times 11 \times 101 \]88880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 227664 |
| Euler totient φ(n) | 32000 |
| Square | 7899654400 |
| Cube | 702121283072000 |
| Square root | 298.127490 (= 4√5555) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.888 × |
88880 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand eight hundred and eighty |
| Binary (base 2) | 10101101100110000 |
| Octal (base 8) | 255460 |
| Hexadecimal (base 16) | 15B30 |
| Base 3 | 11111220212 |
| As time | 88880 seconds = 24 h 41 min 20 s |
Is 88880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88880 ÷ 2 = 44440) | 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 (88880 ÷ 4 = 22220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88880 ÷ 5 = 17776) | 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 1) | 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 (88880 ÷ 8 = 11110) | 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 | Yes (88880 ÷ 10 = 8888) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88880 ÷ 11 = 8080) | 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 88880 a prime number?
No. 88880 = × 5 × 11 × 101, so it is divisible by 2.
What are the factors of 88880?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 101, 110, 176, 202, 220, 404, 440, 505, 808, 880, 1010, 1111, 1616, 2020, 2222, 4040, 4444, 5555, 8080, 8888, 11110, 17776, 22220, 44440, 88880.
What is 88880 in binary?
10101101100110000 (hexadecimal 15B30, octal 255460).
What is the square root of 88880?
About 298.1275, exactly 4√5555.
Is 88880 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 88880?
It is a composite number with 40 divisors.