The number 1516
1516 is a composite number with 6 divisors. Its prime factorisation is × 379. Divisors (6): 1, 2, 4, 379, 758, 1516.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1516 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1516 is composite. Its prime factorisation is
- 3
The divisors add up to 2660; without 1516 itself that is 1144, so 1516 is deficient (1144 is less than 1516). Euler's totient φ(1516) = 756 numbers up to 1516 share no factor with it.
- 4
The digits of 1516 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1516 = 2^{2} \times 379 \]1516 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2660 |
| Euler totient φ(n) | 756 |
| Square | 2298256 |
| Cube | 3484156096 |
| Square root | 38.935845 (= 2√379) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 1.516 × |
1516 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and sixteen |
| Roman numerals | MDXVI |
| Binary (base 2) | 10111101100 |
| Octal (base 8) | 2754 |
| Hexadecimal (base 16) | 5EC |
| Base 3 | 2002011 |
| As time | 1516 seconds = 25 min 16 s |
Is 1516 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1516 ÷ 2 = 758) | 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 (1516 ÷ 4 = 379) | 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 4) | 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 4) | 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 9) | 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 1516 a prime number?
No. 1516 = × 379, so it is divisible by 2.
What are the factors of 1516?
1, 2, 4, 379, 758, 1516.
What is 1516 in binary?
10111101100 (hexadecimal 5EC, octal 2754).
What is the square root of 1516?
About 38.9358, exactly 2√379.
What is 1516 in Roman numerals?
MDXVI.
Is 1516 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1516?
It is a composite number with 6 divisors.