The number 40001
40001 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 181. Divisors (8): 1, 13, 17, 181, 221, 2353, 3077, 40001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40001 is composite. Its prime factorisation is
- 3
The divisors add up to 45864; without 40001 itself that is 5863, so 40001 is deficient (5863 is less than 40001). Euler's totient φ(40001) = 34560 numbers up to 40001 share no factor with it.
- 4
The digits of 40001 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40001 = 13 \times 17 \times 181 \]
40001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45864 |
| Euler totient φ(n) | 34560 |
| Square | 1600080001 |
| Cube | 64004800120001 |
| Square root | 200.002500 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0001 × |
40001 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and one |
| Binary (base 2) | 1001110001000001 |
| Octal (base 8) | 116101 |
| Hexadecimal (base 16) | 9C41 |
| Base 3 | 2000212112 |
| As time | 40001 seconds = 11 h 6 min 41 s |
Is 40001 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40001 a prime number?
No. 40001 = 13 × 17 × 181, so it is divisible by 13.
What are the factors of 40001?
1, 13, 17, 181, 221, 2353, 3077, 40001.
What is 40001 in binary?
1001110001000001 (hexadecimal 9C41, octal 116101).
What is the square root of 40001?
About 200.0025.
Is 40001 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 40001?
It is a composite number with 8 divisors.