The number 40014
40014 is a composite number with 40 divisors. Its prime factorisation is 2 × × 13 × 19. Divisors (40): 1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81 … 40014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40014: a Harshad number: divisible by its digit sum 9.
- 2
40014 is composite. Its prime factorisation is
- 3
The divisors add up to 101640; without 40014 itself that is 61626, so 40014 is abundant (61626 is more than 40014). Euler's totient φ(40014) = 11664 numbers up to 40014 share no factor with it.
- 4
The digits of 40014 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40014 = 2 \times 3^{4} \times 13 \times 19 \]40014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 101640 |
| Euler totient φ(n) | 11664 |
| Square | 1601120196 |
| Cube | 64067223522744 |
| Square root | 200.034997 (= 9√494) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0014 × |
40014 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and fourteen |
| Binary (base 2) | 1001110001001110 |
| Octal (base 8) | 116116 |
| Hexadecimal (base 16) | 9C4E |
| Base 3 | 2000220000 |
| As time | 40014 seconds = 11 h 6 min 54 s |
Is 40014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40014 ÷ 2 = 20007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40014 ÷ 3 = 13338) | 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 (40014 ÷ 6 = 6669) | 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 | Yes (40014 ÷ 9 = 4446) | 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 7) | 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 40014 a prime number?
No. 40014 = 2 × × 13 × 19, so it is divisible by 2.
What are the factors of 40014?
1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81, 114, 117, 162, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1053, 1482, 1539, 2106, 2223, 3078, 4446, 6669, 13338, 20007, 40014.
What is 40014 in binary?
1001110001001110 (hexadecimal 9C4E, octal 116116).
What is the square root of 40014?
About 200.0350, exactly 9√494.
Is 40014 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40014?
40014 is a Harshad number: divisible by its digit sum 9.