The number 40809
40809 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 223. Divisors (8): 1, 3, 61, 183, 223, 669, 13603, 40809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40809 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40809 is composite. Its prime factorisation is
- 3
The divisors add up to 55552; without 40809 itself that is 14743, so 40809 is deficient (14743 is less than 40809). Euler's totient φ(40809) = 26640 numbers up to 40809 share no factor with it.
- 4
The digits of 40809 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40809 = 3 \times 61 \times 223 \]
40809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55552 |
| Euler totient φ(n) | 26640 |
| Square | 1665374481 |
| Cube | 67962267195129 |
| Square root | 202.012376 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0809 × |
40809 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and nine |
| Binary (base 2) | 1001111101101001 |
| Octal (base 8) | 117551 |
| Hexadecimal (base 16) | 9F69 |
| Base 3 | 2001222110 |
| As time | 40809 seconds = 11 h 20 min 9 s |
Is 40809 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40809 ÷ 3 = 13603) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 | No (remainder 1) | 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 9) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40809 a prime number?
No. 40809 = 3 × 61 × 223, so it is divisible by 3.
What are the factors of 40809?
1, 3, 61, 183, 223, 669, 13603, 40809.
What is 40809 in binary?
1001111101101001 (hexadecimal 9F69, octal 117551).
What is the square root of 40809?
About 202.0124.
Is 40809 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40809?
It is a composite number with 8 divisors.