The number 40884
40884 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3407. Divisors (12): 1, 2, 3, 4, 6, 12, 3407, 6814, 10221, 13628, 20442, 40884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40884 is composite. Its prime factorisation is
- 3
The divisors add up to 95424; without 40884 itself that is 54540, so 40884 is abundant (54540 is more than 40884). Euler's totient φ(40884) = 13624 numbers up to 40884 share no factor with it.
- 4
The digits of 40884 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40884 = 2^{2} \times 3 \times 3407 \]40884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95424 |
| Euler totient φ(n) | 13624 |
| Square | 1671501456 |
| Cube | 68337665527104 |
| Square root | 202.197923 (= 2√10221) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0884 × |
40884 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and eighty-four |
| Binary (base 2) | 1001111110110100 |
| Octal (base 8) | 117664 |
| Hexadecimal (base 16) | 9FB4 |
| Base 3 | 2002002020 |
| As time | 40884 seconds = 11 h 21 min 24 s |
Is 40884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40884 ÷ 2 = 20442) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40884 ÷ 3 = 13628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40884 ÷ 4 = 10221) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40884 ÷ 6 = 6814) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40884 ÷ 12 = 3407) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40884 a prime number?
No. 40884 = × 3 × 3407, so it is divisible by 2.
What are the factors of 40884?
1, 2, 3, 4, 6, 12, 3407, 6814, 10221, 13628, 20442, 40884.
What is 40884 in binary?
1001111110110100 (hexadecimal 9FB4, octal 117664).
What is the square root of 40884?
About 202.1979, exactly 2√10221.
Is 40884 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 40884?
It is a composite number with 12 divisors.