The number 20424
20424 is a composite number with 32 divisors. Its prime factorisation is × 3 × 23 × 37. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 23, 24, 37, 46, 69, 74, 92, 111, 138 … 20424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20424: a Harshad number: divisible by its digit sum 12.
- 2
20424 is composite. Its prime factorisation is
- 3
The divisors add up to 54720; without 20424 itself that is 34296, so 20424 is abundant (34296 is more than 20424). Euler's totient φ(20424) = 6336 numbers up to 20424 share no factor with it.
- 4
The digits of 20424 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20424 = 2^{3} \times 3 \times 23 \times 37 \]20424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 54720 |
| Euler totient φ(n) | 6336 |
| Square | 417139776 |
| Cube | 8519662785024 |
| Square root | 142.912561 (= 2√5106) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 180 |
| Scientific notation | 2.0424 × |
20424 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and twenty-four |
| Binary (base 2) | 100111111001000 |
| Octal (base 8) | 47710 |
| Hexadecimal (base 16) | 4FC8 |
| Base 3 | 1001000110 |
| As time | 20424 seconds = 5 h 40 min 24 s |
Is 20424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20424 ÷ 2 = 10212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20424 ÷ 3 = 6808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20424 ÷ 4 = 5106) | 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 | Yes (20424 ÷ 6 = 3404) | 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 | Yes (20424 ÷ 8 = 2553) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20424 ÷ 12 = 1702) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20424 a prime number?
No. 20424 = × 3 × 23 × 37, so it is divisible by 2.
What are the factors of 20424?
1, 2, 3, 4, 6, 8, 12, 23, 24, 37, 46, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 444, 552, 851, 888, 1702, 2553, 3404, 5106, 6808, 10212, 20424.
What is 20424 in binary?
100111111001000 (hexadecimal 4FC8, octal 47710).
What is the square root of 20424?
About 142.9126, exactly 2√5106.
Is 20424 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20424?
20424 is a Harshad number: divisible by its digit sum 12.