The number 96967
96967 is a composite number with 4 divisors. Its prime factorisation is 13 × 7459. Divisors (4): 1, 13, 7459, 96967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96967: a semiprime: 13 × 7459, the product of two primes.
- 2
96967 is composite. Its prime factorisation is
- 3
The divisors add up to 104440; without 96967 itself that is 7473, so 96967 is deficient (7473 is less than 96967). Euler's totient φ(96967) = 89496 numbers up to 96967 share no factor with it.
- 4
The digits of 96967 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96967 = 13 \times 7459 \]
96967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 104440 |
| Euler totient φ(n) | 89496 |
| Square | 9402599089 |
| Cube | 911741825863063 |
| Square root | 311.395247 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.6967 × |
96967 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and sixty-seven |
| Binary (base 2) | 10111101011000111 |
| Octal (base 8) | 275307 |
| Hexadecimal (base 16) | 17AC7 |
| Base 3 | 11221000101 |
| As time | 96967 seconds = 26 h 56 min 7 s |
Is 96967 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 2) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96967 a prime number?
No. 96967 = 13 × 7459, so it is divisible by 13.
What are the factors of 96967?
1, 13, 7459, 96967.
What is 96967 in binary?
10111101011000111 (hexadecimal 17AC7, octal 275307).
What is the square root of 96967?
About 311.3952.
Is 96967 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 96967?
96967 is a semiprime: 13 × 7459, the product of two primes.