The number 40996
40996 is a composite number with 12 divisors. Its prime factorisation is × 37 × 277. Divisors (12): 1, 2, 4, 37, 74, 148, 277, 554, 1108, 10249, 20498, 40996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40996 is composite. Its prime factorisation is
- 3
The divisors add up to 73948; without 40996 itself that is 32952, so 40996 is deficient (32952 is less than 40996). Euler's totient φ(40996) = 19872 numbers up to 40996 share no factor with it.
- 4
The digits of 40996 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40996 = 2^{2} \times 37 \times 277 \]40996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73948 |
| Euler totient φ(n) | 19872 |
| Square | 1680672016 |
| Cube | 68900829967936 |
| Square root | 202.474690 (= 2√10249) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0996 × |
40996 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and ninety-six |
| Binary (base 2) | 1010000000100100 |
| Octal (base 8) | 120044 |
| Hexadecimal (base 16) | A024 |
| Base 3 | 2002020101 |
| As time | 40996 seconds = 11 h 23 min 16 s |
Is 40996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40996 ÷ 2 = 20498) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40996 ÷ 4 = 10249) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40996 a prime number?
No. 40996 = × 37 × 277, so it is divisible by 2.
What are the factors of 40996?
1, 2, 4, 37, 74, 148, 277, 554, 1108, 10249, 20498, 40996.
What is 40996 in binary?
1010000000100100 (hexadecimal A024, octal 120044).
What is the square root of 40996?
About 202.4747, exactly 2√10249.
Is 40996 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 40996?
It is a composite number with 12 divisors.