The number 5067
5067 is a composite number with 6 divisors. Its prime factorisation is × 563. Divisors (6): 1, 3, 9, 563, 1689, 5067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5067 is composite. Its prime factorisation is
- 3
The divisors add up to 7332; without 5067 itself that is 2265, so 5067 is deficient (2265 is less than 5067). Euler's totient φ(5067) = 3372 numbers up to 5067 share no factor with it.
- 4
The digits of 5067 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5067 = 3^{2} \times 563 \]5067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7332 |
| Euler totient φ(n) | 3372 |
| Square | 25674489 |
| Cube | 130092635763 |
| Square root | 71.182863 (= 3√563) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 5.067 × |
5067 in other forms
| Form | Value |
|---|---|
| In words | five thousand and sixty-seven |
| Binary (base 2) | 1001111001011 |
| Octal (base 8) | 11713 |
| Hexadecimal (base 16) | 13CB |
| Base 3 | 20221200 |
| As time | 5067 seconds = 1 h 24 min 27 s |
Is 5067 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5067 ÷ 3 = 1689) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5067 ÷ 9 = 563) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5067 a prime number?
No. 5067 = × 563, so it is divisible by 3.
What are the factors of 5067?
1, 3, 9, 563, 1689, 5067.
What is 5067 in binary?
1001111001011 (hexadecimal 13CB, octal 11713).
What is the square root of 5067?
About 71.1829, exactly 3√563.
Is 5067 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5067?
It is a composite number with 6 divisors.