The number 40667
40667 is a composite number with 4 divisors. Its prime factorisation is 11 × 3697. Divisors (4): 1, 11, 3697, 40667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40667: a semiprime: 11 × 3697, the product of two primes.
- 2
40667 is composite. Its prime factorisation is
- 3
The divisors add up to 44376; without 40667 itself that is 3709, so 40667 is deficient (3709 is less than 40667). Euler's totient φ(40667) = 36960 numbers up to 40667 share no factor with it.
- 4
The digits of 40667 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 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40667 = 11 \times 3697 \]
40667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44376 |
| Euler totient φ(n) | 36960 |
| Square | 1653804889 |
| Cube | 67255283420963 |
| Square root | 201.660606 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0667 × |
40667 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and sixty-seven |
| Binary (base 2) | 1001111011011011 |
| Octal (base 8) | 117333 |
| Hexadecimal (base 16) | 9EDB |
| Base 3 | 2001210012 |
| As time | 40667 seconds = 11 h 17 min 47 s |
Is 40667 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 4) | 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 3) | 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 (40667 ÷ 11 = 3697) | 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 40667 a prime number?
No. 40667 = 11 × 3697, so it is divisible by 11.
What are the factors of 40667?
1, 11, 3697, 40667.
What is 40667 in binary?
1001111011011011 (hexadecimal 9EDB, octal 117333).
What is the square root of 40667?
About 201.6606.
Is 40667 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40667?
40667 is a semiprime: 11 × 3697, the product of two primes.