The number 40984
40984 is a composite number with 16 divisors. Its prime factorisation is × 47 × 109. Divisors (16): 1, 2, 4, 8, 47, 94, 109, 188, 218, 376, 436, 872, 5123, 10246, 20492, 40984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40984 is composite. Its prime factorisation is
- 3
The divisors add up to 79200; without 40984 itself that is 38216, so 40984 is deficient (38216 is less than 40984). Euler's totient φ(40984) = 19872 numbers up to 40984 share no factor with it.
- 4
The digits of 40984 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40984 = 2^{3} \times 47 \times 109 \]40984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79200 |
| Euler totient φ(n) | 19872 |
| Square | 1679688256 |
| Cube | 68840343483904 |
| Square root | 202.445054 (= 2√10246) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.0984 × |
40984 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and eighty-four |
| Binary (base 2) | 1010000000011000 |
| Octal (base 8) | 120030 |
| Hexadecimal (base 16) | A018 |
| Base 3 | 2002012221 |
| As time | 40984 seconds = 11 h 23 min 4 s |
Is 40984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40984 ÷ 2 = 20492) | 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 (40984 ÷ 4 = 10246) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (40984 ÷ 8 = 5123) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 40984 a prime number?
No. 40984 = × 47 × 109, so it is divisible by 2.
What are the factors of 40984?
1, 2, 4, 8, 47, 94, 109, 188, 218, 376, 436, 872, 5123, 10246, 20492, 40984.
What is 40984 in binary?
1010000000011000 (hexadecimal A018, octal 120030).
What is the square root of 40984?
About 202.4451, exactly 2√10246.
Is 40984 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 40984?
It is a composite number with 16 divisors.