The number 9880
9880 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 19. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95 … 9880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9880 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 9880 itself that is 15320, so 9880 is abundant (15320 is more than 9880). Euler's totient φ(9880) = 3456 numbers up to 9880 share no factor with it.
- 4
The digits of 9880 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9880 = 2^{3} \times 5 \times 13 \times 19 \]9880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 3456 |
| Square | 97614400 |
| Cube | 964430272000 |
| Square root | 99.398189 (= 2√2470) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.88 × |
9880 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eighty |
| Binary (base 2) | 10011010011000 |
| Octal (base 8) | 23230 |
| Hexadecimal (base 16) | 2698 |
| Base 3 | 111112221 |
| As time | 9880 seconds = 2 h 44 min 40 s |
Is 9880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9880 ÷ 2 = 4940) | 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 (9880 ÷ 4 = 2470) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9880 ÷ 5 = 1976) | 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 3) | 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 (9880 ÷ 8 = 1235) | 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 | Yes (9880 ÷ 10 = 988) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 9880 a prime number?
No. 9880 = × 5 × 13 × 19, so it is divisible by 2.
What are the factors of 9880?
1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880.
What is 9880 in binary?
10011010011000 (hexadecimal 2698, octal 23230).
What is the square root of 9880?
About 99.3982, exactly 2√2470.
Is 9880 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9880?
It is a composite number with 32 divisors.