The number 2516
2516 is a composite number with 12 divisors. Its prime factorisation is × 17 × 37. Divisors (12): 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2516 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2516 is composite. Its prime factorisation is
- 3
The divisors add up to 4788; without 2516 itself that is 2272, so 2516 is deficient (2272 is less than 2516). Euler's totient φ(2516) = 1152 numbers up to 2516 share no factor with it.
- 4
The digits of 2516 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2516 = 2^{2} \times 17 \times 37 \]2516 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4788 |
| Euler totient φ(n) | 1152 |
| Square | 6330256 |
| Cube | 15926924096 |
| Square root | 50.159745 (= 2√629) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.516 × |
2516 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and sixteen |
| Roman numerals | MMDXVI |
| Binary (base 2) | 100111010100 |
| Octal (base 8) | 4724 |
| Hexadecimal (base 16) | 9D4 |
| Base 3 | 10110012 |
| As time | 2516 seconds = 41 min 56 s |
Is 2516 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2516 ÷ 2 = 1258) | 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 (2516 ÷ 4 = 629) | 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 3) | 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 5) | 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 8) | 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 2516 a prime number?
No. 2516 = × 17 × 37, so it is divisible by 2.
What are the factors of 2516?
1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516.
What is 2516 in binary?
100111010100 (hexadecimal 9D4, octal 4724).
What is the square root of 2516?
About 50.1597, exactly 2√629.
What is 2516 in Roman numerals?
MMDXVI.
Is 2516 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2516?
It is a composite number with 12 divisors.