The number 40311
40311 is a composite number with 8 divisors. Its prime factorisation is × 1493. Divisors (8): 1, 3, 9, 27, 1493, 4479, 13437, 40311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40311: a Harshad number: divisible by its digit sum 9.
- 2
40311 is composite. Its prime factorisation is
- 3
The divisors add up to 59760; without 40311 itself that is 19449, so 40311 is deficient (19449 is less than 40311). Euler's totient φ(40311) = 26856 numbers up to 40311 share no factor with it.
- 4
The digits of 40311 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40311 = 3^{3} \times 1493 \]40311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59760 |
| Euler totient φ(n) | 26856 |
| Square | 1624976721 |
| Cube | 65504436600231 |
| Square root | 200.775995 (= 3√4479) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0311 × |
40311 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and eleven |
| Binary (base 2) | 1001110101110111 |
| Octal (base 8) | 116567 |
| Hexadecimal (base 16) | 9D77 |
| Base 3 | 2001022000 |
| As time | 40311 seconds = 11 h 11 min 51 s |
Is 40311 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 (40311 ÷ 3 = 13437) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40311 ÷ 9 = 4479) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40311 a prime number?
No. 40311 = × 1493, so it is divisible by 3.
What are the factors of 40311?
1, 3, 9, 27, 1493, 4479, 13437, 40311.
What is 40311 in binary?
1001110101110111 (hexadecimal 9D77, octal 116567).
What is the square root of 40311?
About 200.7760, exactly 3√4479.
Is 40311 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40311?
40311 is a Harshad number: divisible by its digit sum 9.