The number 40117
40117 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 521. Divisors (8): 1, 7, 11, 77, 521, 3647, 5731, 40117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40117 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40117 is composite. Its prime factorisation is
- 3
The divisors add up to 50112; without 40117 itself that is 9995, so 40117 is deficient (9995 is less than 40117). Euler's totient φ(40117) = 31200 numbers up to 40117 share no factor with it.
- 4
The digits of 40117 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40117 = 7 \times 11 \times 521 \]
40117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50112 |
| Euler totient φ(n) | 31200 |
| Square | 1609373689 |
| Cube | 64563244281613 |
| Square root | 200.292286 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0117 × |
40117 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and seventeen |
| Binary (base 2) | 1001110010110101 |
| Octal (base 8) | 116265 |
| Hexadecimal (base 16) | 9CB5 |
| Base 3 | 2001000211 |
| As time | 40117 seconds = 11 h 8 min 37 s |
Is 40117 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 2) | 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 | Yes (40117 ÷ 7 = 5731) | 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 4) | 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 (40117 ÷ 11 = 3647) | 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 40117 a prime number?
No. 40117 = 7 × 11 × 521, so it is divisible by 7.
What are the factors of 40117?
1, 7, 11, 77, 521, 3647, 5731, 40117.
What is 40117 in binary?
1001110010110101 (hexadecimal 9CB5, octal 116265).
What is the square root of 40117?
About 200.2923.
Is 40117 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40117?
It is a composite number with 8 divisors.