The number 40584
40584 is a composite number with 32 divisors. Its prime factorisation is × 3 × 19 × 89. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 89, 114, 152, 178 … 40584.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40584 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40584 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 40584 itself that is 67416, so 40584 is abundant (67416 is more than 40584). Euler's totient φ(40584) = 12672 numbers up to 40584 share no factor with it.
- 4
The digits of 40584 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40584 = 2^{3} \times 3 \times 19 \times 89 \]40584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 12672 |
| Square | 1647061056 |
| Cube | 66844325896704 |
| Square root | 201.454710 (= 2√10146) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0584 × |
40584 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and eighty-four |
| Binary (base 2) | 1001111010001000 |
| Octal (base 8) | 117210 |
| Hexadecimal (base 16) | 9E88 |
| Base 3 | 2001200010 |
| As time | 40584 seconds = 11 h 16 min 24 s |
Is 40584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40584 ÷ 2 = 20292) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40584 ÷ 3 = 13528) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40584 ÷ 4 = 10146) | 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 (40584 ÷ 6 = 6764) | 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 | Yes (40584 ÷ 8 = 5073) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40584 ÷ 12 = 3382) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40584 a prime number?
No. 40584 = × 3 × 19 × 89, so it is divisible by 2.
What are the factors of 40584?
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 89, 114, 152, 178, 228, 267, 356, 456, 534, 712, 1068, 1691, 2136, 3382, 5073, 6764, 10146, 13528, 20292, 40584.
What is 40584 in binary?
1001111010001000 (hexadecimal 9E88, octal 117210).
What is the square root of 40584?
About 201.4547, exactly 2√10146.
Is 40584 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40584?
It is a composite number with 32 divisors.