The number 965
965 is a composite number with 4 divisors. Its prime factorisation is 5 × 193. Divisors (4): 1, 5, 193, 965.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 965: a semiprime: 5 × 193, the product of two primes.
- 2
965 is composite. Its prime factorisation is
- 3
The divisors add up to 1164; without 965 itself that is 199, so 965 is deficient (199 is less than 965). Euler's totient φ(965) = 768 numbers up to 965 share no factor with it.
- 4
The digits of 965 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 965 = 5 \times 193 \]
965 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1164 |
| Euler totient φ(n) | 768 |
| Square | 931225 |
| Cube | 898632125 |
| Square root | 31.064449 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 23 |
| Scientific notation | 9.65 × |
965 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and sixty-five |
| Roman numerals | CMLXV |
| Binary (base 2) | 1111000101 |
| Octal (base 8) | 1705 |
| Hexadecimal (base 16) | 3C5 |
| Base 3 | 1022202 |
| As time | 965 seconds = 16 min 5 s |
Is 965 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (965 ÷ 5 = 193) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 965 a prime number?
No. 965 = 5 × 193, so it is divisible by 5.
What are the factors of 965?
1, 5, 193, 965.
What is 965 in binary?
1111000101 (hexadecimal 3C5, octal 1705).
What is the square root of 965?
About 31.0644.
What is 965 in Roman numerals?
CMLXV.
Is 965 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 965?
965 is a semiprime: 5 × 193, the product of two primes.