The number 9943
9943 is a composite number with 4 divisors. Its prime factorisation is 61 × 163. Divisors (4): 1, 61, 163, 9943.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9943: a semiprime: 61 × 163, the product of two primes.
- 2
9943 is composite. Its prime factorisation is
- 3
The divisors add up to 10168; without 9943 itself that is 225, so 9943 is deficient (225 is less than 9943). Euler's totient φ(9943) = 9720 numbers up to 9943 share no factor with it.
- 4
The digits of 9943 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9943 = 61 \times 163 \]
9943 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10168 |
| Euler totient φ(n) | 9720 |
| Square | 98863249 |
| Cube | 982997284807 |
| Square root | 99.714593 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.943 × |
9943 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and forty-three |
| Binary (base 2) | 10011011010111 |
| Octal (base 8) | 23327 |
| Hexadecimal (base 16) | 26D7 |
| Base 3 | 111122021 |
| As time | 9943 seconds = 2 h 45 min 43 s |
Is 9943 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9943 a prime number?
No. 9943 = 61 × 163, so it is divisible by 61.
What are the factors of 9943?
1, 61, 163, 9943.
What is 9943 in binary?
10011011010111 (hexadecimal 26D7, octal 23327).
What is the square root of 9943?
About 99.7146.
Is 9943 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9943?
9943 is a semiprime: 61 × 163, the product of two primes.