The number 2646
2646 is a composite number with 24 divisors. Its prime factorisation is 2 × × . Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126 … 2646.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2646: a Harshad number: divisible by its digit sum 18.
- 2
2646 is composite. Its prime factorisation is
- 3
The divisors add up to 6840; without 2646 itself that is 4194, so 2646 is abundant (4194 is more than 2646). Euler's totient φ(2646) = 756 numbers up to 2646 share no factor with it.
- 4
The digits of 2646 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2646 = 2 \times 3^{3} \times 7^{2} \]2646 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6840 |
| Euler totient φ(n) | 756 |
| Square | 7001316 |
| Cube | 18525482136 |
| Square root | 51.439285 (= 21√6) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 53 |
| Scientific notation | 2.646 × |
2646 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and forty-six |
| Roman numerals | MMDCXLVI |
| Binary (base 2) | 101001010110 |
| Octal (base 8) | 5126 |
| Hexadecimal (base 16) | A56 |
| Base 3 | 10122000 |
| As time | 2646 seconds = 44 min 6 s |
Is 2646 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2646 ÷ 2 = 1323) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2646 ÷ 3 = 882) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (2646 ÷ 6 = 441) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2646 ÷ 7 = 378) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2646 ÷ 9 = 294) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2646 a prime number?
No. 2646 = 2 × × , so it is divisible by 2.
What are the factors of 2646?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646.
What is 2646 in binary?
101001010110 (hexadecimal A56, octal 5126).
What is the square root of 2646?
About 51.4393, exactly 21√6.
What is 2646 in Roman numerals?
MMDCXLVI.
Is 2646 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2646?
2646 is a Harshad number: divisible by its digit sum 18.