The number 963
963 is a composite number with 6 divisors. Its prime factorisation is × 107. Divisors (6): 1, 3, 9, 107, 321, 963.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
963 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
963 is composite. Its prime factorisation is
- 3
The divisors add up to 1404; without 963 itself that is 441, so 963 is deficient (441 is less than 963). Euler's totient φ(963) = 636 numbers up to 963 share no factor with it.
- 4
The digits of 963 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 963 = 3^{2} \times 107 \]963 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1404 |
| Euler totient φ(n) | 636 |
| Square | 927369 |
| Cube | 893056347 |
| Square root | 31.032241 (= 3√107) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 9.63 × |
963 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and sixty-three |
| Roman numerals | CMLXIII |
| Binary (base 2) | 1111000011 |
| Octal (base 8) | 1703 |
| Hexadecimal (base 16) | 3C3 |
| Base 3 | 1022200 |
| As time | 963 seconds = 16 min 3 s |
Is 963 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 | Yes (963 ÷ 3 = 321) | 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 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (963 ÷ 9 = 107) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 963 a prime number?
No. 963 = × 107, so it is divisible by 3.
What are the factors of 963?
1, 3, 9, 107, 321, 963.
What is 963 in binary?
1111000011 (hexadecimal 3C3, octal 1703).
What is the square root of 963?
About 31.0322, exactly 3√107.
What is 963 in Roman numerals?
CMLXIII.
Is 963 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 963?
It is a composite number with 6 divisors.