The number 2946
2946 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 491. Divisors (8): 1, 2, 3, 6, 491, 982, 1473, 2946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2946 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2946 is composite. Its prime factorisation is
- 3
The divisors add up to 5904; without 2946 itself that is 2958, so 2946 is abundant (2958 is more than 2946). Euler's totient φ(2946) = 980 numbers up to 2946 share no factor with it.
- 4
The digits of 2946 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2946 = 2 \times 3 \times 491 \]
2946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5904 |
| Euler totient φ(n) | 980 |
| Square | 8678916 |
| Cube | 25568086536 |
| Square root | 54.277067 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 97 |
| Scientific notation | 2.946 × |
2946 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and forty-six |
| Roman numerals | MMCMXLVI |
| Binary (base 2) | 101110000010 |
| Octal (base 8) | 5602 |
| Hexadecimal (base 16) | B82 |
| Base 3 | 11001010 |
| As time | 2946 seconds = 49 min 6 s |
Is 2946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2946 ÷ 2 = 1473) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2946 ÷ 3 = 982) | 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 (2946 ÷ 6 = 491) | 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 2) | 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 9) | 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 2946 a prime number?
No. 2946 = 2 × 3 × 491, so it is divisible by 2.
What are the factors of 2946?
1, 2, 3, 6, 491, 982, 1473, 2946.
What is 2946 in binary?
101110000010 (hexadecimal B82, octal 5602).
What is the square root of 2946?
About 54.2771.
What is 2946 in Roman numerals?
MMCMXLVI.
Is 2946 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2946?
It is a composite number with 8 divisors.