The number 40038
40038 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 6673. Divisors (8): 1, 2, 3, 6, 6673, 13346, 20019, 40038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40038 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40038 is composite. Its prime factorisation is
- 3
The divisors add up to 80088; without 40038 itself that is 40050, so 40038 is abundant (40050 is more than 40038). Euler's totient φ(40038) = 13344 numbers up to 40038 share no factor with it.
- 4
The digits of 40038 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40038 = 2 \times 3 \times 6673 \]
40038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80088 |
| Euler totient φ(n) | 13344 |
| Square | 1603041444 |
| Cube | 64182573334872 |
| Square root | 200.094977 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 168 |
| Scientific notation | 4.0038 × |
40038 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-eight |
| Binary (base 2) | 1001110001100110 |
| Octal (base 8) | 116146 |
| Hexadecimal (base 16) | 9C66 |
| Base 3 | 2000220220 |
| As time | 40038 seconds = 11 h 7 min 18 s |
Is 40038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40038 ÷ 2 = 20019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40038 ÷ 3 = 13346) | 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 (40038 ÷ 6 = 6673) | 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 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 9) | 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 40038 a prime number?
No. 40038 = 2 × 3 × 6673, so it is divisible by 2.
What are the factors of 40038?
1, 2, 3, 6, 6673, 13346, 20019, 40038.
What is 40038 in binary?
1001110001100110 (hexadecimal 9C66, octal 116146).
What is the square root of 40038?
About 200.0950.
Is 40038 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40038?
It is a composite number with 8 divisors.