The number 5012
5012 is a composite number with 12 divisors. Its prime factorisation is × 7 × 179. Divisors (12): 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5012 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 5012 itself that is 5068, so 5012 is abundant (5068 is more than 5012). Euler's totient φ(5012) = 2136 numbers up to 5012 share no factor with it.
- 4
The digits of 5012 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5012 = 2^{2} \times 7 \times 179 \]5012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 2136 |
| Square | 25120144 |
| Cube | 125902161728 |
| Square root | 70.795480 (= 2√1253) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 134 |
| Scientific notation | 5.012 × |
5012 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twelve |
| Binary (base 2) | 1001110010100 |
| Octal (base 8) | 11624 |
| Hexadecimal (base 16) | 1394 |
| Base 3 | 20212122 |
| As time | 5012 seconds = 1 h 23 min 32 s |
Is 5012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5012 ÷ 2 = 2506) | 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 | Yes (5012 ÷ 4 = 1253) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5012 ÷ 7 = 716) | 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 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5012 a prime number?
No. 5012 = × 7 × 179, so it is divisible by 2.
What are the factors of 5012?
1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012.
What is 5012 in binary?
1001110010100 (hexadecimal 1394, octal 11624).
What is the square root of 5012?
About 70.7955, exactly 2√1253.
Is 5012 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 5012?
It is a composite number with 12 divisors.