The number 40108
40108 is a composite number with 12 divisors. Its prime factorisation is × 37 × 271. Divisors (12): 1, 2, 4, 37, 74, 148, 271, 542, 1084, 10027, 20054, 40108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40108 is composite. Its prime factorisation is
- 3
The divisors add up to 72352; without 40108 itself that is 32244, so 40108 is deficient (32244 is less than 40108). Euler's totient φ(40108) = 19440 numbers up to 40108 share no factor with it.
- 4
The digits of 40108 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40108 = 2^{2} \times 37 \times 271 \]40108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72352 |
| Euler totient φ(n) | 19440 |
| Square | 1608651664 |
| Cube | 64519800939712 |
| Square root | 200.269818 (= 2√10027) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0108 × |
40108 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and eight |
| Binary (base 2) | 1001110010101100 |
| Octal (base 8) | 116254 |
| Hexadecimal (base 16) | 9CAC |
| Base 3 | 2001000111 |
| As time | 40108 seconds = 11 h 8 min 28 s |
Is 40108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40108 ÷ 2 = 20054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40108 ÷ 4 = 10027) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40108 a prime number?
No. 40108 = × 37 × 271, so it is divisible by 2.
What are the factors of 40108?
1, 2, 4, 37, 74, 148, 271, 542, 1084, 10027, 20054, 40108.
What is 40108 in binary?
1001110010101100 (hexadecimal 9CAC, octal 116254).
What is the square root of 40108?
About 200.2698, exactly 2√10027.
Is 40108 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40108?
It is a composite number with 12 divisors.