The number 20746
20746 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 23 × 41. Divisors (16): 1, 2, 11, 22, 23, 41, 46, 82, 253, 451, 506, 902, 943, 1886, 10373, 20746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20746 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 20746 itself that is 15542, so 20746 is deficient (15542 is less than 20746). Euler's totient φ(20746) = 8800 numbers up to 20746 share no factor with it.
- 4
The digits of 20746 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20746 = 2 \times 11 \times 23 \times 41 \]
20746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 8800 |
| Square | 430396516 |
| Cube | 8929006120936 |
| Square root | 144.034718 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0746 × |
20746 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and forty-six |
| Binary (base 2) | 101000100001010 |
| Octal (base 8) | 50412 |
| Hexadecimal (base 16) | 510A |
| Base 3 | 1001110101 |
| As time | 20746 seconds = 5 h 45 min 46 s |
Is 20746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20746 ÷ 2 = 10373) | 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 5) | 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 1) | 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 (20746 ÷ 11 = 1886) | 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 20746 a prime number?
No. 20746 = 2 × 11 × 23 × 41, so it is divisible by 2.
What are the factors of 20746?
1, 2, 11, 22, 23, 41, 46, 82, 253, 451, 506, 902, 943, 1886, 10373, 20746.
What is 20746 in binary?
101000100001010 (hexadecimal 510A, octal 50412).
What is the square root of 20746?
About 144.0347.
Is 20746 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 20746?
It is a composite number with 16 divisors.