The number 2673
2673 is a composite number with 12 divisors. Its prime factorisation is × 11. Divisors (12): 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2673 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2673 is composite. Its prime factorisation is
- 3
The divisors add up to 4368; without 2673 itself that is 1695, so 2673 is deficient (1695 is less than 2673). Euler's totient φ(2673) = 1620 numbers up to 2673 share no factor with it.
- 4
The digits of 2673 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2673 = 3^{5} \times 11 \]2673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4368 |
| Euler totient φ(n) | 1620 |
| Square | 7144929 |
| Cube | 19098395217 |
| Square root | 51.701064 (= 9√33) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.673 × |
2673 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and seventy-three |
| Roman numerals | MMDCLXXIII |
| Binary (base 2) | 101001110001 |
| Octal (base 8) | 5161 |
| Hexadecimal (base 16) | A71 |
| Base 3 | 10200000 |
| As time | 2673 seconds = 44 min 33 s |
Is 2673 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2673 ÷ 3 = 891) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2673 ÷ 9 = 297) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2673 ÷ 11 = 243) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2673 a prime number?
No. 2673 = × 11, so it is divisible by 3.
What are the factors of 2673?
1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673.
What is 2673 in binary?
101001110001 (hexadecimal A71, octal 5161).
What is the square root of 2673?
About 51.7011, exactly 9√33.
What is 2673 in Roman numerals?
MMDCLXXIII.
Is 2673 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2673?
It is a composite number with 12 divisors.