The number 40997
40997 is a composite number with 4 divisors. Its prime factorisation is 11 × 3727. Divisors (4): 1, 11, 3727, 40997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40997: a semiprime: 11 × 3727, the product of two primes.
- 2
40997 is composite. Its prime factorisation is
- 3
The divisors add up to 44736; without 40997 itself that is 3739, so 40997 is deficient (3739 is less than 40997). Euler's totient φ(40997) = 37260 numbers up to 40997 share no factor with it.
- 4
The digits of 40997 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40997 = 11 \times 3727 \]
40997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44736 |
| Euler totient φ(n) | 37260 |
| Square | 1680754009 |
| Cube | 68905872106973 |
| Square root | 202.477159 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0997 × |
40997 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and ninety-seven |
| Binary (base 2) | 1010000000100101 |
| Octal (base 8) | 120045 |
| Hexadecimal (base 16) | A025 |
| Base 3 | 2002020102 |
| As time | 40997 seconds = 11 h 23 min 17 s |
Is 40997 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 5) | 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 5) | 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 (40997 ÷ 11 = 3727) | 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 40997 a prime number?
No. 40997 = 11 × 3727, so it is divisible by 11.
What are the factors of 40997?
1, 11, 3727, 40997.
What is 40997 in binary?
1010000000100101 (hexadecimal A025, octal 120045).
What is the square root of 40997?
About 202.4772.
Is 40997 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 40997?
40997 is a semiprime: 11 × 3727, the product of two primes.