The number 40046
40046 is a composite number with 4 divisors. Its prime factorisation is 2 × 20023. Divisors (4): 1, 2, 20023, 40046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40046: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 20023, the product of two primes.
- 2
40046 is composite. Its prime factorisation is
- 3
The divisors add up to 60072; without 40046 itself that is 20026, so 40046 is deficient (20026 is less than 40046). Euler's totient φ(40046) = 20022 numbers up to 40046 share no factor with it.
- 4
The digits of 40046 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 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40046 = 2 \times 20023 \]
40046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 60072 |
| Euler totient φ(n) | 20022 |
| Square | 1603682116 |
| Cube | 64221054017336 |
| Square root | 200.114967 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0046 × |
40046 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and forty-six |
| Binary (base 2) | 1001110001101110 |
| Octal (base 8) | 116156 |
| Hexadecimal (base 16) | 9C6E |
| Base 3 | 2000221012 |
| As time | 40046 seconds = 11 h 7 min 26 s |
Is 40046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40046 ÷ 2 = 20023) | 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 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 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 6) | 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 40046 a prime number?
No. 40046 = 2 × 20023, so it is divisible by 2.
What are the factors of 40046?
1, 2, 20023, 40046.
What is 40046 in binary?
1001110001101110 (hexadecimal 9C6E, octal 116156).
What is the square root of 40046?
About 200.1150.
Is 40046 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40046?
40046 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 20023, the product of two primes.