The number 2616
2616 is a composite number with 16 divisors. Its prime factorisation is × 3 × 109. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2616 is composite. Its prime factorisation is
- 3
The divisors add up to 6600; without 2616 itself that is 3984, so 2616 is abundant (3984 is more than 2616). Euler's totient φ(2616) = 864 numbers up to 2616 share no factor with it.
- 4
The digits of 2616 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2616 = 2^{3} \times 3 \times 109 \]2616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6600 |
| Euler totient φ(n) | 864 |
| Square | 6843456 |
| Cube | 17902480896 |
| Square root | 51.146847 (= 2√654) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 146 |
| Scientific notation | 2.616 × |
2616 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and sixteen |
| Roman numerals | MMDCXVI |
| Binary (base 2) | 101000111000 |
| Octal (base 8) | 5070 |
| Hexadecimal (base 16) | A38 |
| Base 3 | 10120220 |
| As time | 2616 seconds = 43 min 36 s |
Is 2616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2616 ÷ 2 = 1308) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2616 ÷ 3 = 872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2616 ÷ 4 = 654) | 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 | Yes (2616 ÷ 6 = 436) | 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 | Yes (2616 ÷ 8 = 327) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (2616 ÷ 12 = 218) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2616 a prime number?
No. 2616 = × 3 × 109, so it is divisible by 2.
What are the factors of 2616?
1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616.
What is 2616 in binary?
101000111000 (hexadecimal A38, octal 5070).
What is the square root of 2616?
About 51.1468, exactly 2√654.
What is 2616 in Roman numerals?
MMDCXVI.
Is 2616 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2616?
It is a composite number with 16 divisors.