The number 9964
9964 is a composite number with 12 divisors. Its prime factorisation is × 47 × 53. Divisors (12): 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9964 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 9964 itself that is 8180, so 9964 is deficient (8180 is less than 9964). Euler's totient φ(9964) = 4784 numbers up to 9964 share no factor with it.
- 4
The digits of 9964 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9964 = 2^{2} \times 47 \times 53 \]9964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 4784 |
| Square | 99281296 |
| Cube | 989238833344 |
| Square root | 99.819838 (= 2√2491) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.964 × |
9964 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and sixty-four |
| Binary (base 2) | 10011011101100 |
| Octal (base 8) | 23354 |
| Hexadecimal (base 16) | 26EC |
| Base 3 | 111200001 |
| As time | 9964 seconds = 2 h 46 min 4 s |
Is 9964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9964 ÷ 2 = 4982) | 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 (9964 ÷ 4 = 2491) | 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 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 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 9964 a prime number?
No. 9964 = × 47 × 53, so it is divisible by 2.
What are the factors of 9964?
1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964.
What is 9964 in binary?
10011011101100 (hexadecimal 26EC, octal 23354).
What is the square root of 9964?
About 99.8198, exactly 2√2491.
Is 9964 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9964?
It is a composite number with 12 divisors.