The number 40908
40908 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 487. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 487, 974, 1461, 1948 … 40908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40908: a Harshad number: divisible by its digit sum 21.
- 2
40908 is composite. Its prime factorisation is
- 3
The divisors add up to 109312; without 40908 itself that is 68404, so 40908 is abundant (68404 is more than 40908). Euler's totient φ(40908) = 11664 numbers up to 40908 share no factor with it.
- 4
The digits of 40908 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40908 = 2^{2} \times 3 \times 7 \times 487 \]40908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 109312 |
| Euler totient φ(n) | 11664 |
| Square | 1673464464 |
| Cube | 68458084293312 |
| Square root | 202.257262 (= 2√10227) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0908 × |
40908 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and eight |
| Binary (base 2) | 1001111111001100 |
| Octal (base 8) | 117714 |
| Hexadecimal (base 16) | 9FCC |
| Base 3 | 2002010010 |
| As time | 40908 seconds = 11 h 21 min 48 s |
Is 40908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40908 ÷ 2 = 20454) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40908 ÷ 3 = 13636) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40908 ÷ 4 = 10227) | 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 (40908 ÷ 6 = 6818) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40908 ÷ 7 = 5844) | 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 8) | 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 (40908 ÷ 12 = 3409) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40908 a prime number?
No. 40908 = × 3 × 7 × 487, so it is divisible by 2.
What are the factors of 40908?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 487, 974, 1461, 1948, 2922, 3409, 5844, 6818, 10227, 13636, 20454, 40908.
What is 40908 in binary?
1001111111001100 (hexadecimal 9FCC, octal 117714).
What is the square root of 40908?
About 202.2573, exactly 2√10227.
Is 40908 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40908?
40908 is a Harshad number: divisible by its digit sum 21.