The number 9946
9946 is a composite number with 4 divisors. Its prime factorisation is 2 × 4973. Divisors (4): 1, 2, 4973, 9946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9946: a semiprime: 2 × 4973, the product of two primes.
- 2
9946 is composite. Its prime factorisation is
- 3
The divisors add up to 14922; without 9946 itself that is 4976, so 9946 is deficient (4976 is less than 9946). Euler's totient φ(9946) = 4972 numbers up to 9946 share no factor with it.
- 4
The digits of 9946 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9946 = 2 \times 4973 \]
9946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14922 |
| Euler totient φ(n) | 4972 |
| Square | 98922916 |
| Cube | 983887322536 |
| Square root | 99.729635 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.946 × |
9946 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-six |
| Binary (base 2) | 10011011011010 |
| Octal (base 8) | 23332 |
| Hexadecimal (base 16) | 26DA |
| Base 3 | 111122101 |
| As time | 9946 seconds = 2 h 45 min 46 s |
Is 9946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9946 ÷ 2 = 4973) | 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 | No (remainder 1) | 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 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 9946 a prime number?
No. 9946 = 2 × 4973, so it is divisible by 2.
What are the factors of 9946?
1, 2, 4973, 9946.
What is 9946 in binary?
10011011011010 (hexadecimal 26DA, octal 23332).
What is the square root of 9946?
About 99.7296.
Is 9946 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9946?
9946 is a semiprime: 2 × 4973, the product of two primes.