The number 40967
40967 is a composite number with 4 divisors. Its prime factorisation is 71 × 577. Divisors (4): 1, 71, 577, 40967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40967: a semiprime: 71 × 577, the product of two primes.
- 2
40967 is composite. Its prime factorisation is
- 3
The divisors add up to 41616; without 40967 itself that is 649, so 40967 is deficient (649 is less than 40967). Euler's totient φ(40967) = 40320 numbers up to 40967 share no factor with it.
- 4
The digits of 40967 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40967 = 71 \times 577 \]
40967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41616 |
| Euler totient φ(n) | 40320 |
| Square | 1678295089 |
| Cube | 68754714911063 |
| Square root | 202.403063 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0967 × |
40967 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and sixty-seven |
| Binary (base 2) | 1010000000000111 |
| Octal (base 8) | 120007 |
| Hexadecimal (base 16) | A007 |
| Base 3 | 2002012022 |
| As time | 40967 seconds = 11 h 22 min 47 s |
Is 40967 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 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 8) | 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 3) | 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 40967 a prime number?
No. 40967 = 71 × 577, so it is divisible by 71.
What are the factors of 40967?
1, 71, 577, 40967.
What is 40967 in binary?
1010000000000111 (hexadecimal A007, octal 120007).
What is the square root of 40967?
About 202.4031.
Is 40967 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 40967?
40967 is a semiprime: 71 × 577, the product of two primes.