The number 9948
9948 is a composite number with 12 divisors. Its prime factorisation is × 3 × 829. Divisors (12): 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9948 is composite. Its prime factorisation is
- 3
The divisors add up to 23240; without 9948 itself that is 13292, so 9948 is abundant (13292 is more than 9948). Euler's totient φ(9948) = 3312 numbers up to 9948 share no factor with it.
- 4
The digits of 9948 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9948 = 2^{2} \times 3 \times 829 \]9948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23240 |
| Euler totient φ(n) | 3312 |
| Square | 98962704 |
| Cube | 984480979392 |
| Square root | 99.739661 (= 2√2487) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.948 × |
9948 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-eight |
| Binary (base 2) | 10011011011100 |
| Octal (base 8) | 23334 |
| Hexadecimal (base 16) | 26DC |
| Base 3 | 111122110 |
| As time | 9948 seconds = 2 h 45 min 48 s |
Is 9948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9948 ÷ 2 = 4974) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9948 ÷ 3 = 3316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9948 ÷ 4 = 2487) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9948 ÷ 6 = 1658) | 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 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9948 ÷ 12 = 829) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9948 a prime number?
No. 9948 = × 3 × 829, so it is divisible by 2.
What are the factors of 9948?
1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948.
What is 9948 in binary?
10011011011100 (hexadecimal 26DC, octal 23334).
What is the square root of 9948?
About 99.7397, exactly 2√2487.
Is 9948 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9948?
It is a composite number with 12 divisors.