The number 4014
4014 is a composite number with 12 divisors. Its prime factorisation is 2 × × 223. Divisors (12): 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4014: a Harshad number: divisible by its digit sum 9.
- 2
4014 is composite. Its prime factorisation is
- 3
The divisors add up to 8736; without 4014 itself that is 4722, so 4014 is abundant (4722 is more than 4014). Euler's totient φ(4014) = 1332 numbers up to 4014 share no factor with it.
- 4
The digits of 4014 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4014 = 2 \times 3^{2} \times 223 \]4014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8736 |
| Euler totient φ(n) | 1332 |
| Square | 16112196 |
| Cube | 64674354744 |
| Square root | 63.356136 (= 3√446) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 4.014 × |
4014 in other forms
| Form | Value |
|---|---|
| In words | four thousand and fourteen |
| Binary (base 2) | 111110101110 |
| Octal (base 8) | 7656 |
| Hexadecimal (base 16) | FAE |
| Base 3 | 12111200 |
| As time | 4014 seconds = 1 h 6 min 54 s |
Is 4014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4014 ÷ 2 = 2007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4014 ÷ 3 = 1338) | 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 (4014 ÷ 6 = 669) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (4014 ÷ 9 = 446) | 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 10) | 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 4014 a prime number?
No. 4014 = 2 × × 223, so it is divisible by 2.
What are the factors of 4014?
1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014.
What is 4014 in binary?
111110101110 (hexadecimal FAE, octal 7656).
What is the square root of 4014?
About 63.3561, exactly 3√446.
Is 4014 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4014?
4014 is a Harshad number: divisible by its digit sum 9.