The number 3016
3016 is a composite number with 16 divisors. Its prime factorisation is × 13 × 29. Divisors (16): 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3016 is composite. Its prime factorisation is
- 3
The divisors add up to 6300; without 3016 itself that is 3284, so 3016 is abundant (3284 is more than 3016). Euler's totient φ(3016) = 1344 numbers up to 3016 share no factor with it.
- 4
The digits of 3016 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3016 = 2^{3} \times 13 \times 29 \]3016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6300 |
| Euler totient φ(n) | 1344 |
| Square | 9096256 |
| Cube | 27434308096 |
| Square root | 54.918121 (= 2√754) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 3.016 × |
3016 in other forms
| Form | Value |
|---|---|
| In words | three thousand and sixteen |
| Roman numerals | MMMXVI |
| Binary (base 2) | 101111001000 |
| Octal (base 8) | 5710 |
| Hexadecimal (base 16) | BC8 |
| Base 3 | 11010201 |
| As time | 3016 seconds = 50 min 16 s |
Is 3016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3016 ÷ 2 = 1508) | 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 (3016 ÷ 4 = 754) | 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 4) | 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 | Yes (3016 ÷ 8 = 377) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 3016 a prime number?
No. 3016 = × 13 × 29, so it is divisible by 2.
What are the factors of 3016?
1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 1508, 3016.
What is 3016 in binary?
101111001000 (hexadecimal BC8, octal 5710).
What is the square root of 3016?
About 54.9181, exactly 2√754.
What is 3016 in Roman numerals?
MMMXVI.
Is 3016 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3016?
It is a composite number with 16 divisors.