The number 10967
10967 is a composite number with 4 divisors. Its prime factorisation is 11 × 997. Divisors (4): 1, 11, 997, 10967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10967: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 997, the product of two primes.
- 2
10967 is composite. Its prime factorisation is
- 3
The divisors add up to 11976; without 10967 itself that is 1009, so 10967 is deficient (1009 is less than 10967). Euler's totient φ(10967) = 9960 numbers up to 10967 share no factor with it.
- 4
The digits of 10967 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10967 = 11 \times 997 \]
10967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11976 |
| Euler totient φ(n) | 9960 |
| Square | 120275089 |
| Cube | 1319056901063 |
| Square root | 104.723445 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0967 × |
10967 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and sixty-seven |
| Binary (base 2) | 10101011010111 |
| Octal (base 8) | 25327 |
| Hexadecimal (base 16) | 2AD7 |
| Base 3 | 120001012 |
| As time | 10967 seconds = 3 h 2 min 47 s |
Is 10967 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 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 5) | 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 5) | 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 | Yes (10967 ÷ 11 = 997) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10967 a prime number?
No. 10967 = 11 × 997, so it is divisible by 11.
What are the factors of 10967?
1, 11, 997, 10967.
What is 10967 in binary?
10101011010111 (hexadecimal 2AD7, octal 25327).
What is the square root of 10967?
About 104.7234.
Is 10967 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 10967?
10967 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 997, the product of two primes.