The number 40741
40741 is a composite number with 4 divisors. Its prime factorisation is 131 × 311. Divisors (4): 1, 131, 311, 40741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40741: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 311, the product of two primes.
- 2
40741 is composite. Its prime factorisation is
- 3
The divisors add up to 41184; without 40741 itself that is 443, so 40741 is deficient (443 is less than 40741). Euler's totient φ(40741) = 40300 numbers up to 40741 share no factor with it.
- 4
The digits of 40741 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40741 = 131 \times 311 \]
40741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41184 |
| Euler totient φ(n) | 40300 |
| Square | 1659829081 |
| Cube | 67623096589021 |
| Square root | 201.843999 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0741 × |
40741 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and forty-one |
| Binary (base 2) | 1001111100100101 |
| Octal (base 8) | 117445 |
| Hexadecimal (base 16) | 9F25 |
| Base 3 | 2001212221 |
| As time | 40741 seconds = 11 h 19 min 1 s |
Is 40741 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40741 a prime number?
No. 40741 = 131 × 311, so it is divisible by 131.
What are the factors of 40741?
1, 131, 311, 40741.
What is 40741 in binary?
1001111100100101 (hexadecimal 9F25, octal 117445).
What is the square root of 40741?
About 201.8440.
Is 40741 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40741?
40741 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 311, the product of two primes.