The number 40937
40937 is a composite number with 8 divisors. Its prime factorisation is 13 × 47 × 67. Divisors (8): 1, 13, 47, 67, 611, 871, 3149, 40937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40937 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40937 is composite. Its prime factorisation is
- 3
The divisors add up to 45696; without 40937 itself that is 4759, so 40937 is deficient (4759 is less than 40937). Euler's totient φ(40937) = 36432 numbers up to 40937 share no factor with it.
- 4
The digits of 40937 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40937 = 13 \times 47 \times 67 \]
40937 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45696 |
| Euler totient φ(n) | 36432 |
| Square | 1675837969 |
| Cube | 68603778936953 |
| Square root | 202.328940 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0937 × |
40937 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and thirty-seven |
| Binary (base 2) | 1001111111101001 |
| Octal (base 8) | 117751 |
| Hexadecimal (base 16) | 9FE9 |
| Base 3 | 2002011012 |
| As time | 40937 seconds = 11 h 22 min 17 s |
Is 40937 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 5) | 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 6) | 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 40937 a prime number?
No. 40937 = 13 × 47 × 67, so it is divisible by 13.
What are the factors of 40937?
1, 13, 47, 67, 611, 871, 3149, 40937.
What is 40937 in binary?
1001111111101001 (hexadecimal 9FE9, octal 117751).
What is the square root of 40937?
About 202.3289.
Is 40937 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 40937?
It is a composite number with 8 divisors.