The number 2146
2146 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 37. Divisors (8): 1, 2, 29, 37, 58, 74, 1073, 2146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2146 is composite. Its prime factorisation is
- 3
The divisors add up to 3420; without 2146 itself that is 1274, so 2146 is deficient (1274 is less than 2146). Euler's totient φ(2146) = 1008 numbers up to 2146 share no factor with it.
- 4
The digits of 2146 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2146 = 2 \times 29 \times 37 \]
2146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3420 |
| Euler totient φ(n) | 1008 |
| Square | 4605316 |
| Cube | 9883008136 |
| Square root | 46.324939 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 24 |
| Scientific notation | 2.146 × |
2146 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and forty-six |
| Roman numerals | MMCXLVI |
| Binary (base 2) | 100001100010 |
| Octal (base 8) | 4142 |
| Hexadecimal (base 16) | 862 |
| Base 3 | 2221111 |
| As time | 2146 seconds = 35 min 46 s |
Is 2146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2146 ÷ 2 = 1073) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2146 a prime number?
No. 2146 = 2 × 29 × 37, so it is divisible by 2.
What are the factors of 2146?
1, 2, 29, 37, 58, 74, 1073, 2146.
What is 2146 in binary?
100001100010 (hexadecimal 862, octal 4142).
What is the square root of 2146?
About 46.3249.
What is 2146 in Roman numerals?
MMCXLVI.
Is 2146 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2146?
It is a composite number with 8 divisors.