The number 40116
40116 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3343. Divisors (12): 1, 2, 3, 4, 6, 12, 3343, 6686, 10029, 13372, 20058, 40116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40116: a Harshad number: divisible by its digit sum 12.
- 2
40116 is composite. Its prime factorisation is
- 3
The divisors add up to 93632; without 40116 itself that is 53516, so 40116 is abundant (53516 is more than 40116). Euler's totient φ(40116) = 13368 numbers up to 40116 share no factor with it.
- 4
The digits of 40116 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40116 = 2^{2} \times 3 \times 3343 \]40116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93632 |
| Euler totient φ(n) | 13368 |
| Square | 1609293456 |
| Cube | 64558416280896 |
| Square root | 200.289790 (= 2√10029) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0116 × |
40116 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixteen |
| Binary (base 2) | 1001110010110100 |
| Octal (base 8) | 116264 |
| Hexadecimal (base 16) | 9CB4 |
| Base 3 | 2001000210 |
| As time | 40116 seconds = 11 h 8 min 36 s |
Is 40116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40116 ÷ 2 = 20058) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40116 ÷ 3 = 13372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40116 ÷ 4 = 10029) | 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 | Yes (40116 ÷ 6 = 6686) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 | Yes (40116 ÷ 12 = 3343) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40116 a prime number?
No. 40116 = × 3 × 3343, so it is divisible by 2.
What are the factors of 40116?
1, 2, 3, 4, 6, 12, 3343, 6686, 10029, 13372, 20058, 40116.
What is 40116 in binary?
1001110010110100 (hexadecimal 9CB4, octal 116264).
What is the square root of 40116?
About 200.2898, exactly 2√10029.
Is 40116 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40116?
40116 is a Harshad number: divisible by its digit sum 12.