The number 40097
40097 is a composite number with 4 divisors. Its prime factorisation is 101 × 397. Divisors (4): 1, 101, 397, 40097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40097: a semiprime: 101 × 397, the product of two primes.
- 2
40097 is composite. Its prime factorisation is
- 3
The divisors add up to 40596; without 40097 itself that is 499, so 40097 is deficient (499 is less than 40097). Euler's totient φ(40097) = 39600 numbers up to 40097 share no factor with it.
- 4
The digits of 40097 add up to 20, 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
\[ 40097 = 101 \times 397 \]
40097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40596 |
| Euler totient φ(n) | 39600 |
| Square | 1607769409 |
| Cube | 64466729992673 |
| Square root | 200.242353 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0097 × |
40097 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and ninety-seven |
| Binary (base 2) | 1001110010100001 |
| Octal (base 8) | 116241 |
| Hexadecimal (base 16) | 9CA1 |
| Base 3 | 2001000002 |
| As time | 40097 seconds = 11 h 8 min 17 s |
Is 40097 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 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 1) | 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 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 | No (remainder 2) | 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 40097 a prime number?
No. 40097 = 101 × 397, so it is divisible by 101.
What are the factors of 40097?
1, 101, 397, 40097.
What is 40097 in binary?
1001110010100001 (hexadecimal 9CA1, octal 116241).
What is the square root of 40097?
About 200.2424.
Is 40097 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40097?
40097 is a semiprime: 101 × 397, the product of two primes.