The number 36967
36967 is a composite number with 4 divisors. Its prime factorisation is 7 × 5281. Divisors (4): 1, 7, 5281, 36967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36967: a semiprime: 7 × 5281, the product of two primes.
- 2
36967 is composite. Its prime factorisation is
- 3
The divisors add up to 42256; without 36967 itself that is 5289, so 36967 is deficient (5289 is less than 36967). Euler's totient φ(36967) = 31680 numbers up to 36967 share no factor with it.
- 4
The digits of 36967 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36967 = 7 \times 5281 \]
36967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42256 |
| Euler totient φ(n) | 31680 |
| Square | 1366559089 |
| Cube | 50517589843063 |
| Square root | 192.268042 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6967 × |
36967 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and sixty-seven |
| Binary (base 2) | 1001000001100111 |
| Octal (base 8) | 110147 |
| Hexadecimal (base 16) | 9067 |
| Base 3 | 1212201011 |
| As time | 36967 seconds = 10 h 16 min 7 s |
Is 36967 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 | Yes (36967 ÷ 7 = 5281) | 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 4) | 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 7) | 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 36967 a prime number?
No. 36967 = 7 × 5281, so it is divisible by 7.
What are the factors of 36967?
1, 7, 5281, 36967.
What is 36967 in binary?
1001000001100111 (hexadecimal 9067, octal 110147).
What is the square root of 36967?
About 192.2680.
Is 36967 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 36967?
36967 is a semiprime: 7 × 5281, the product of two primes.