The number 9910
9910 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 991. Divisors (8): 1, 2, 5, 10, 991, 1982, 4955, 9910.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9910 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9910 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 9910 itself that is 7946, so 9910 is deficient (7946 is less than 9910). Euler's totient φ(9910) = 3960 numbers up to 9910 share no factor with it.
- 4
The digits of 9910 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9910 = 2 \times 5 \times 991 \]
9910 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 3960 |
| Square | 98208100 |
| Cube | 973242271000 |
| Square root | 99.548983 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.91 × |
9910 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and ten |
| Binary (base 2) | 10011010110110 |
| Octal (base 8) | 23266 |
| Hexadecimal (base 16) | 26B6 |
| Base 3 | 111121001 |
| As time | 9910 seconds = 2 h 45 min 10 s |
Is 9910 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9910 ÷ 2 = 4955) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9910 ÷ 5 = 1982) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9910 ÷ 10 = 991) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9910 a prime number?
No. 9910 = 2 × 5 × 991, so it is divisible by 2.
What are the factors of 9910?
1, 2, 5, 10, 991, 1982, 4955, 9910.
What is 9910 in binary?
10011010110110 (hexadecimal 26B6, octal 23266).
What is the square root of 9910?
About 99.5490.
Is 9910 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9910?
It is a composite number with 8 divisors.