The number 40406
40406 is a composite number with 8 divisors. Its prime factorisation is 2 × 89 × 227. Divisors (8): 1, 2, 89, 178, 227, 454, 20203, 40406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40406: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40406 is composite. Its prime factorisation is
- 3
The divisors add up to 61560; without 40406 itself that is 21154, so 40406 is deficient (21154 is less than 40406). Euler's totient φ(40406) = 19888 numbers up to 40406 share no factor with it.
- 4
The digits of 40406 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40406 = 2 \times 89 \times 227 \]
40406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61560 |
| Euler totient φ(n) | 19888 |
| Square | 1632644836 |
| Cube | 65968647243416 |
| Square root | 201.012437 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0406 × |
40406 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and six |
| Binary (base 2) | 1001110111010110 |
| Octal (base 8) | 116726 |
| Hexadecimal (base 16) | 9DD6 |
| Base 3 | 2001102112 |
| As time | 40406 seconds = 11 h 13 min 26 s |
Is 40406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40406 ÷ 2 = 20203) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40406 a prime number?
No. 40406 = 2 × 89 × 227, so it is divisible by 2.
What are the factors of 40406?
1, 2, 89, 178, 227, 454, 20203, 40406.
What is 40406 in binary?
1001110111010110 (hexadecimal 9DD6, octal 116726).
What is the square root of 40406?
About 201.0124.
Is 40406 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40406?
40406 is a happy number: repeatedly adding the squares of its digits reaches 1.