The number 5066
5066 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 149. Divisors (8): 1, 2, 17, 34, 149, 298, 2533, 5066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5066: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
5066 is composite. Its prime factorisation is
- 3
The divisors add up to 8100; without 5066 itself that is 3034, so 5066 is deficient (3034 is less than 5066). Euler's totient φ(5066) = 2368 numbers up to 5066 share no factor with it.
- 4
The digits of 5066 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5066 = 2 \times 17 \times 149 \]
5066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8100 |
| Euler totient φ(n) | 2368 |
| Square | 25664356 |
| Cube | 130015627496 |
| Square root | 71.175839 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 5.066 × |
5066 in other forms
| Form | Value |
|---|---|
| In words | five thousand and sixty-six |
| Binary (base 2) | 1001111001010 |
| Octal (base 8) | 11712 |
| Hexadecimal (base 16) | 13CA |
| Base 3 | 20221122 |
| As time | 5066 seconds = 1 h 24 min 26 s |
Is 5066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5066 ÷ 2 = 2533) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 5) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5066 a prime number?
No. 5066 = 2 × 17 × 149, so it is divisible by 2.
What are the factors of 5066?
1, 2, 17, 34, 149, 298, 2533, 5066.
What is 5066 in binary?
1001111001010 (hexadecimal 13CA, octal 11712).
What is the square root of 5066?
About 71.1758.
Is 5066 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5066?
5066 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.