The number 40494
40494 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 397. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 397, 794, 1191, 2382, 6749, 13498, 20247, 40494.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40494: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40494 is composite. Its prime factorisation is
- 3
The divisors add up to 85968; without 40494 itself that is 45474, so 40494 is abundant (45474 is more than 40494). Euler's totient φ(40494) = 12672 numbers up to 40494 share no factor with it.
- 4
The digits of 40494 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 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40494 = 2 \times 3 \times 17 \times 397 \]
40494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 85968 |
| Euler totient φ(n) | 12672 |
| Square | 1639764036 |
| Cube | 66400604873784 |
| Square root | 201.231210 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0494 × |
40494 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and ninety-four |
| Binary (base 2) | 1001111000101110 |
| Octal (base 8) | 117056 |
| Hexadecimal (base 16) | 9E2E |
| Base 3 | 2001112210 |
| As time | 40494 seconds = 11 h 14 min 54 s |
Is 40494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40494 ÷ 2 = 20247) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40494 ÷ 3 = 13498) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40494 ÷ 6 = 6749) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40494 a prime number?
No. 40494 = 2 × 3 × 17 × 397, so it is divisible by 2.
What are the factors of 40494?
1, 2, 3, 6, 17, 34, 51, 102, 397, 794, 1191, 2382, 6749, 13498, 20247, 40494.
What is 40494 in binary?
1001111000101110 (hexadecimal 9E2E, octal 117056).
What is the square root of 40494?
About 201.2312.
Is 40494 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40494?
40494 is a happy number: repeatedly adding the squares of its digits reaches 1.