The number 40007
40007 is a composite number with 4 divisors. Its prime factorisation is 11 × 3637. Divisors (4): 1, 11, 3637, 40007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40007: a Harshad number: divisible by its digit sum 11; a semiprime: 11 × 3637, the product of two primes.
- 2
40007 is composite. Its prime factorisation is
- 3
The divisors add up to 43656; without 40007 itself that is 3649, so 40007 is deficient (3649 is less than 40007). Euler's totient φ(40007) = 36360 numbers up to 40007 share no factor with it.
- 4
The digits of 40007 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40007 = 11 \times 3637 \]
40007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 43656 |
| Euler totient φ(n) | 36360 |
| Square | 1600560049 |
| Cube | 64033605880343 |
| Square root | 200.017499 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0007 × |
40007 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seven |
| Binary (base 2) | 1001110001000111 |
| Octal (base 8) | 116107 |
| Hexadecimal (base 16) | 9C47 |
| Base 3 | 2000212202 |
| As time | 40007 seconds = 11 h 6 min 47 s |
Is 40007 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 2) | 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 2) | 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 (40007 ÷ 11 = 3637) | 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 40007 a prime number?
No. 40007 = 11 × 3637, so it is divisible by 11.
What are the factors of 40007?
1, 11, 3637, 40007.
What is 40007 in binary?
1001110001000111 (hexadecimal 9C47, octal 116107).
What is the square root of 40007?
About 200.0175.
Is 40007 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40007?
40007 is a Harshad number: divisible by its digit sum 11; a semiprime: 11 × 3637, the product of two primes.