The number 40012
40012 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1429. Divisors (12): 1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40012: a Harshad number: divisible by its digit sum 7.
- 2
40012 is composite. Its prime factorisation is
- 3
The divisors add up to 80080; without 40012 itself that is 40068, so 40012 is abundant (40068 is more than 40012). Euler's totient φ(40012) = 17136 numbers up to 40012 share no factor with it.
- 4
The digits of 40012 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40012 = 2^{2} \times 7 \times 1429 \]40012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80080 |
| Euler totient φ(n) | 17136 |
| Square | 1600960144 |
| Cube | 64057617281728 |
| Square root | 200.029998 (= 2√10003) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0012 × |
40012 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and twelve |
| Binary (base 2) | 1001110001001100 |
| Octal (base 8) | 116114 |
| Hexadecimal (base 16) | 9C4C |
| Base 3 | 2000212221 |
| As time | 40012 seconds = 11 h 6 min 52 s |
Is 40012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40012 ÷ 2 = 20006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40012 ÷ 4 = 10003) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40012 ÷ 7 = 5716) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40012 a prime number?
No. 40012 = × 7 × 1429, so it is divisible by 2.
What are the factors of 40012?
1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012.
What is 40012 in binary?
1001110001001100 (hexadecimal 9C4C, octal 116114).
What is the square root of 40012?
About 200.0300, exactly 2√10003.
Is 40012 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 40012?
40012 is a Harshad number: divisible by its digit sum 7.