The number 8880
8880 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 37. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40 … 8880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8880: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
8880 is composite. Its prime factorisation is
- 3
The divisors add up to 28272; without 8880 itself that is 19392, so 8880 is abundant (19392 is more than 8880). Euler's totient φ(8880) = 2304 numbers up to 8880 share no factor with it.
- 4
The digits of 8880 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8880 = 2^{4} \times 3 \times 5 \times 37 \]8880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 28272 |
| Euler totient φ(n) | 2304 |
| Square | 78854400 |
| Cube | 700227072000 |
| Square root | 94.233752 (= 4√555) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.88 × |
8880 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and eighty |
| Binary (base 2) | 10001010110000 |
| Octal (base 8) | 21260 |
| Hexadecimal (base 16) | 22B0 |
| Base 3 | 110011220 |
| As time | 8880 seconds = 2 h 28 min 0 s |
Is 8880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8880 ÷ 2 = 4440) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8880 ÷ 3 = 2960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8880 ÷ 4 = 2220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8880 ÷ 5 = 1776) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8880 ÷ 6 = 1480) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (8880 ÷ 8 = 1110) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8880 ÷ 10 = 888) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8880 ÷ 12 = 740) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8880 a prime number?
No. 8880 = × 3 × 5 × 37, so it is divisible by 2.
What are the factors of 8880?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880.
What is 8880 in binary?
10001010110000 (hexadecimal 22B0, octal 21260).
What is the square root of 8880?
About 94.2338, exactly 4√555.
Is 8880 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8880?
8880 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.