The number 9930
9930 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 331. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9930 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9930 is composite. Its prime factorisation is
- 3
The divisors add up to 23904; without 9930 itself that is 13974, so 9930 is abundant (13974 is more than 9930). Euler's totient φ(9930) = 2640 numbers up to 9930 share no factor with it.
- 4
The digits of 9930 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9930 = 2 \times 3 \times 5 \times 331 \]
9930 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23904 |
| Euler totient φ(n) | 2640 |
| Square | 98604900 |
| Cube | 979146657000 |
| Square root | 99.649385 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.93 × |
9930 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and thirty |
| Binary (base 2) | 10011011001010 |
| Octal (base 8) | 23312 |
| Hexadecimal (base 16) | 26CA |
| Base 3 | 111121210 |
| As time | 9930 seconds = 2 h 45 min 30 s |
Is 9930 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9930 ÷ 2 = 4965) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9930 ÷ 3 = 3310) | 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 (9930 ÷ 5 = 1986) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9930 ÷ 6 = 1655) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9930 ÷ 10 = 993) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9930 a prime number?
No. 9930 = 2 × 3 × 5 × 331, so it is divisible by 2.
What are the factors of 9930?
1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930.
What is 9930 in binary?
10011011001010 (hexadecimal 26CA, octal 23312).
What is the square root of 9930?
About 99.6494.
Is 9930 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9930?
It is a composite number with 16 divisors.