The number 3146
3146 is a composite number with 12 divisors. Its prime factorisation is 2 × × 13. Divisors (12): 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3146 is composite. Its prime factorisation is
- 3
The divisors add up to 5586; without 3146 itself that is 2440, so 3146 is deficient (2440 is less than 3146). Euler's totient φ(3146) = 1320 numbers up to 3146 share no factor with it.
- 4
The digits of 3146 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3146 = 2 \times 11^{2} \times 13 \]3146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5586 |
| Euler totient φ(n) | 1320 |
| Square | 9897316 |
| Cube | 31136956136 |
| Square root | 56.089215 (= 11√26) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.146 × |
3146 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and forty-six |
| Roman numerals | MMMCXLVI |
| Binary (base 2) | 110001001010 |
| Octal (base 8) | 6112 |
| Hexadecimal (base 16) | C4A |
| Base 3 | 11022112 |
| As time | 3146 seconds = 52 min 26 s |
Is 3146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3146 ÷ 2 = 1573) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 | Yes (3146 ÷ 11 = 286) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3146 a prime number?
No. 3146 = 2 × × 13, so it is divisible by 2.
What are the factors of 3146?
1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146.
What is 3146 in binary?
110001001010 (hexadecimal C4A, octal 6112).
What is the square root of 3146?
About 56.0892, exactly 11√26.
What is 3146 in Roman numerals?
MMMCXLVI.
Is 3146 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3146?
It is a composite number with 12 divisors.