The number 943
943 is a composite number with 4 divisors. Its prime factorisation is 23 × 41. Divisors (4): 1, 23, 41, 943.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 943: a semiprime: 23 × 41, the product of two primes.
- 2
943 is composite. Its prime factorisation is
- 3
The divisors add up to 1008; without 943 itself that is 65, so 943 is deficient (65 is less than 943). Euler's totient φ(943) = 880 numbers up to 943 share no factor with it.
- 4
The digits of 943 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 943 = 23 \times 41 \]
943 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1008 |
| Euler totient φ(n) | 880 |
| Square | 889249 |
| Cube | 838561807 |
| Square root | 30.708305 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 9.43 × |
943 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and forty-three |
| Roman numerals | CMXLIII |
| Binary (base 2) | 1110101111 |
| Octal (base 8) | 1657 |
| Hexadecimal (base 16) | 3AF |
| Base 3 | 1021221 |
| As time | 943 seconds = 15 min 43 s |
Is 943 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 5) | 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 8) | 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 943 a prime number?
No. 943 = 23 × 41, so it is divisible by 23.
What are the factors of 943?
1, 23, 41, 943.
What is 943 in binary?
1110101111 (hexadecimal 3AF, octal 1657).
What is the square root of 943?
About 30.7083.
What is 943 in Roman numerals?
CMXLIII.
Is 943 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 943?
943 is a semiprime: 23 × 41, the product of two primes.