The number 40209
40209 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1031. Divisors (8): 1, 3, 13, 39, 1031, 3093, 13403, 40209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40209 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40209 is composite. Its prime factorisation is
- 3
The divisors add up to 57792; without 40209 itself that is 17583, so 40209 is deficient (17583 is less than 40209). Euler's totient φ(40209) = 24720 numbers up to 40209 share no factor with it.
- 4
The digits of 40209 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40209 = 3 \times 13 \times 1031 \]
40209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57792 |
| Euler totient φ(n) | 24720 |
| Square | 1616763681 |
| Cube | 65008450849329 |
| Square root | 200.521819 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0209 × |
40209 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and nine |
| Binary (base 2) | 1001110100010001 |
| Octal (base 8) | 116421 |
| Hexadecimal (base 16) | 9D11 |
| Base 3 | 2001011020 |
| As time | 40209 seconds = 11 h 10 min 9 s |
Is 40209 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 (40209 ÷ 3 = 13403) | 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 1) | 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 6) | 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 4) | 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 40209 a prime number?
No. 40209 = 3 × 13 × 1031, so it is divisible by 3.
What are the factors of 40209?
1, 3, 13, 39, 1031, 3093, 13403, 40209.
What is 40209 in binary?
1001110100010001 (hexadecimal 9D11, octal 116421).
What is the square root of 40209?
About 200.5218.
Is 40209 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40209?
It is a composite number with 8 divisors.