The number 4012
4012 is a composite number with 12 divisors. Its prime factorisation is × 17 × 59. Divisors (12): 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4012 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 4012 itself that is 3548, so 4012 is deficient (3548 is less than 4012). Euler's totient φ(4012) = 1856 numbers up to 4012 share no factor with it.
- 4
The digits of 4012 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4012 = 2^{2} \times 17 \times 59 \]4012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1856 |
| Square | 16096144 |
| Cube | 64577729728 |
| Square root | 63.340350 (= 2√1003) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 43 |
| Scientific notation | 4.012 × |
4012 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twelve |
| Binary (base 2) | 111110101100 |
| Octal (base 8) | 7654 |
| Hexadecimal (base 16) | FAC |
| Base 3 | 12111121 |
| As time | 4012 seconds = 1 h 6 min 52 s |
Is 4012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4012 ÷ 2 = 2006) | 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 (4012 ÷ 4 = 1003) | 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 | No (remainder 1) | 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 8) | 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 4012 a prime number?
No. 4012 = × 17 × 59, so it is divisible by 2.
What are the factors of 4012?
1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012.
What is 4012 in binary?
111110101100 (hexadecimal FAC, octal 7654).
What is the square root of 4012?
About 63.3404, exactly 2√1003.
Is 4012 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 4012?
It is a composite number with 12 divisors.