The number 40409
40409 is a composite number with 4 divisors. Its prime factorisation is 17 × 2377. Divisors (4): 1, 17, 2377, 40409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40409: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 2377, the product of two primes.
- 2
40409 is composite. Its prime factorisation is
- 3
The divisors add up to 42804; without 40409 itself that is 2395, so 40409 is deficient (2395 is less than 40409). Euler's totient φ(40409) = 38016 numbers up to 40409 share no factor with it.
- 4
The digits of 40409 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40409 = 17 \times 2377 \]
40409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42804 |
| Euler totient φ(n) | 38016 |
| Square | 1632887281 |
| Cube | 65983342137929 |
| Square root | 201.019900 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0409 × |
40409 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and nine |
| Binary (base 2) | 1001110111011001 |
| Octal (base 8) | 116731 |
| Hexadecimal (base 16) | 9DD9 |
| Base 3 | 2001102122 |
| As time | 40409 seconds = 11 h 13 min 29 s |
Is 40409 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 | No (remainder 2) | 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 5) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40409 a prime number?
No. 40409 = 17 × 2377, so it is divisible by 17.
What are the factors of 40409?
1, 17, 2377, 40409.
What is 40409 in binary?
1001110111011001 (hexadecimal 9DD9, octal 116731).
What is the square root of 40409?
About 201.0199.
Is 40409 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40409?
40409 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 2377, the product of two primes.