The number 20049
20049 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 163. Divisors (8): 1, 3, 41, 123, 163, 489, 6683, 20049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20049 is composite. Its prime factorisation is
- 3
The divisors add up to 27552; without 20049 itself that is 7503, so 20049 is deficient (7503 is less than 20049). Euler's totient φ(20049) = 12960 numbers up to 20049 share no factor with it.
- 4
The digits of 20049 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20049 = 3 \times 41 \times 163 \]
20049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27552 |
| Euler totient φ(n) | 12960 |
| Square | 401962401 |
| Cube | 8058944177649 |
| Square root | 141.594491 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.0049 × |
20049 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and forty-nine |
| Binary (base 2) | 100111001010001 |
| Octal (base 8) | 47121 |
| Hexadecimal (base 16) | 4E51 |
| Base 3 | 1000111120 |
| As time | 20049 seconds = 5 h 34 min 9 s |
Is 20049 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20049 ÷ 3 = 6683) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20049 a prime number?
No. 20049 = 3 × 41 × 163, so it is divisible by 3.
What are the factors of 20049?
1, 3, 41, 123, 163, 489, 6683, 20049.
What is 20049 in binary?
100111001010001 (hexadecimal 4E51, octal 47121).
What is the square root of 20049?
About 141.5945.
Is 20049 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 20049?
It is a composite number with 8 divisors.