The number 20241
20241 is a composite number with 12 divisors. Its prime factorisation is × 13 × 173. Divisors (12): 1, 3, 9, 13, 39, 117, 173, 519, 1557, 2249, 6747, 20241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20241: a Harshad number: divisible by its digit sum 9.
- 2
20241 is composite. Its prime factorisation is
- 3
The divisors add up to 31668; without 20241 itself that is 11427, so 20241 is deficient (11427 is less than 20241). Euler's totient φ(20241) = 12384 numbers up to 20241 share no factor with it.
- 4
The digits of 20241 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20241 = 3^{2} \times 13 \times 173 \]20241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31668 |
| Euler totient φ(n) | 12384 |
| Square | 409698081 |
| Cube | 8292698857521 |
| Square root | 142.270868 (= 3√2249) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.0241 × |
20241 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred and forty-one |
| Binary (base 2) | 100111100010001 |
| Octal (base 8) | 47421 |
| Hexadecimal (base 16) | 4F11 |
| Base 3 | 1000202200 |
| As time | 20241 seconds = 5 h 37 min 21 s |
Is 20241 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 (20241 ÷ 3 = 6747) | 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 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20241 ÷ 9 = 2249) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20241 a prime number?
No. 20241 = × 13 × 173, so it is divisible by 3.
What are the factors of 20241?
1, 3, 9, 13, 39, 117, 173, 519, 1557, 2249, 6747, 20241.
What is 20241 in binary?
100111100010001 (hexadecimal 4F11, octal 47421).
What is the square root of 20241?
About 142.2709, exactly 3√2249.
Is 20241 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20241?
20241 is a Harshad number: divisible by its digit sum 9.