The number 9944
9944 is a composite number with 16 divisors. Its prime factorisation is × 11 × 113. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9944 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9944 is composite. Its prime factorisation is
- 3
The divisors add up to 20520; without 9944 itself that is 10576, so 9944 is abundant (10576 is more than 9944). Euler's totient φ(9944) = 4480 numbers up to 9944 share no factor with it.
- 4
The digits of 9944 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9944 = 2^{3} \times 11 \times 113 \]9944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20520 |
| Euler totient φ(n) | 4480 |
| Square | 98883136 |
| Cube | 983293904384 |
| Square root | 99.719607 (= 2√2486) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.944 × |
9944 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-four |
| Binary (base 2) | 10011011011000 |
| Octal (base 8) | 23330 |
| Hexadecimal (base 16) | 26D8 |
| Base 3 | 111122022 |
| As time | 9944 seconds = 2 h 45 min 44 s |
Is 9944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9944 ÷ 2 = 4972) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9944 ÷ 4 = 2486) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (9944 ÷ 8 = 1243) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9944 ÷ 11 = 904) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9944 a prime number?
No. 9944 = × 11 × 113, so it is divisible by 2.
What are the factors of 9944?
1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944.
What is 9944 in binary?
10011011011000 (hexadecimal 26D8, octal 23330).
What is the square root of 9944?
About 99.7196, exactly 2√2486.
Is 9944 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9944?
It is a composite number with 16 divisors.