The number 2676
2676 is a composite number with 12 divisors. Its prime factorisation is × 3 × 223. Divisors (12): 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2676 is composite. Its prime factorisation is
- 3
The divisors add up to 6272; without 2676 itself that is 3596, so 2676 is abundant (3596 is more than 2676). Euler's totient φ(2676) = 888 numbers up to 2676 share no factor with it.
- 4
The digits of 2676 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2676 = 2^{2} \times 3 \times 223 \]2676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6272 |
| Euler totient φ(n) | 888 |
| Square | 7160976 |
| Cube | 19162771776 |
| Square root | 51.730069 (= 2√669) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.676 × |
2676 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and seventy-six |
| Roman numerals | MMDCLXXVI |
| Binary (base 2) | 101001110100 |
| Octal (base 8) | 5164 |
| Hexadecimal (base 16) | A74 |
| Base 3 | 10200010 |
| As time | 2676 seconds = 44 min 36 s |
Is 2676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2676 ÷ 2 = 1338) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2676 ÷ 3 = 892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2676 ÷ 4 = 669) | 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 (2676 ÷ 6 = 446) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2676 ÷ 12 = 223) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2676 a prime number?
No. 2676 = × 3 × 223, so it is divisible by 2.
What are the factors of 2676?
1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676.
What is 2676 in binary?
101001110100 (hexadecimal A74, octal 5164).
What is the square root of 2676?
About 51.7301, exactly 2√669.
What is 2676 in Roman numerals?
MMDCLXXVI.
Is 2676 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2676?
It is a composite number with 12 divisors.