The number 40484
40484 is a composite number with 12 divisors. Its prime factorisation is × 29 × 349. Divisors (12): 1, 2, 4, 29, 58, 116, 349, 698, 1396, 10121, 20242, 40484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40484 is composite. Its prime factorisation is
- 3
The divisors add up to 73500; without 40484 itself that is 33016, so 40484 is deficient (33016 is less than 40484). Euler's totient φ(40484) = 19488 numbers up to 40484 share no factor with it.
- 4
The digits of 40484 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40484 = 2^{2} \times 29 \times 349 \]40484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73500 |
| Euler totient φ(n) | 19488 |
| Square | 1638954256 |
| Cube | 66351424099904 |
| Square root | 201.206362 (= 2√10121) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0484 × |
40484 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and eighty-four |
| Binary (base 2) | 1001111000100100 |
| Octal (base 8) | 117044 |
| Hexadecimal (base 16) | 9E24 |
| Base 3 | 2001112102 |
| As time | 40484 seconds = 11 h 14 min 44 s |
Is 40484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40484 ÷ 2 = 20242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40484 ÷ 4 = 10121) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40484 a prime number?
No. 40484 = × 29 × 349, so it is divisible by 2.
What are the factors of 40484?
1, 2, 4, 29, 58, 116, 349, 698, 1396, 10121, 20242, 40484.
What is 40484 in binary?
1001111000100100 (hexadecimal 9E24, octal 117044).
What is the square root of 40484?
About 201.2064, exactly 2√10121.
Is 40484 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40484?
It is a composite number with 12 divisors.