The number 40398
40398 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6733. Divisors (8): 1, 2, 3, 6, 6733, 13466, 20199, 40398.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40398 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40398 is composite. Its prime factorisation is
- 3
The divisors add up to 80808; without 40398 itself that is 40410, so 40398 is abundant (40410 is more than 40398). Euler's totient φ(40398) = 13464 numbers up to 40398 share no factor with it.
- 4
The digits of 40398 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40398 = 2 \times 3 \times 6733 \]
40398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80808 |
| Euler totient φ(n) | 13464 |
| Square | 1631998404 |
| Cube | 65929471524792 |
| Square root | 200.992537 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.0398 × |
40398 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and ninety-eight |
| Binary (base 2) | 1001110111001110 |
| Octal (base 8) | 116716 |
| Hexadecimal (base 16) | 9DCE |
| Base 3 | 2001102020 |
| As time | 40398 seconds = 11 h 13 min 18 s |
Is 40398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40398 ÷ 2 = 20199) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40398 ÷ 3 = 13466) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (40398 ÷ 6 = 6733) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40398 a prime number?
No. 40398 = 2 × 3 × 6733, so it is divisible by 2.
What are the factors of 40398?
1, 2, 3, 6, 6733, 13466, 20199, 40398.
What is 40398 in binary?
1001110111001110 (hexadecimal 9DCE, octal 116716).
What is the square root of 40398?
About 200.9925.
Is 40398 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 40398?
It is a composite number with 8 divisors.