The number 40113
40113 is a composite number with 6 divisors. Its prime factorisation is × 4457. Divisors (6): 1, 3, 9, 4457, 13371, 40113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40113: a Harshad number: divisible by its digit sum 9.
- 2
40113 is composite. Its prime factorisation is
- 3
The divisors add up to 57954; without 40113 itself that is 17841, so 40113 is deficient (17841 is less than 40113). Euler's totient φ(40113) = 26736 numbers up to 40113 share no factor with it.
- 4
The digits of 40113 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40113 = 3^{2} \times 4457 \]40113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 57954 |
| Euler totient φ(n) | 26736 |
| Square | 1609052769 |
| Cube | 64543933722897 |
| Square root | 200.282301 (= 3√4457) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.0113 × |
40113 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and thirteen |
| Binary (base 2) | 1001110010110001 |
| Octal (base 8) | 116261 |
| Hexadecimal (base 16) | 9CB1 |
| Base 3 | 2001000200 |
| As time | 40113 seconds = 11 h 8 min 33 s |
Is 40113 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 | Yes (40113 ÷ 3 = 13371) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (40113 ÷ 9 = 4457) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40113 a prime number?
No. 40113 = × 4457, so it is divisible by 3.
What are the factors of 40113?
1, 3, 9, 4457, 13371, 40113.
What is 40113 in binary?
1001110010110001 (hexadecimal 9CB1, octal 116261).
What is the square root of 40113?
About 200.2823, exactly 3√4457.
Is 40113 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40113?
40113 is a Harshad number: divisible by its digit sum 9.