The number 20024
20024 is a composite number with 8 divisors. Its prime factorisation is × 2503. Divisors (8): 1, 2, 4, 8, 2503, 5006, 10012, 20024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20024: a Harshad number: divisible by its digit sum 8.
- 2
20024 is composite. Its prime factorisation is
- 3
The divisors add up to 37560; without 20024 itself that is 17536, so 20024 is deficient (17536 is less than 20024). Euler's totient φ(20024) = 10008 numbers up to 20024 share no factor with it.
- 4
The digits of 20024 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20024 = 2^{3} \times 2503 \]20024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37560 |
| Euler totient φ(n) | 10008 |
| Square | 400960576 |
| Cube | 8028834573824 |
| Square root | 141.506184 (= 2√5006) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 2.0024 × |
20024 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and twenty-four |
| Binary (base 2) | 100111000111000 |
| Octal (base 8) | 47070 |
| Hexadecimal (base 16) | 4E38 |
| Base 3 | 1000110122 |
| As time | 20024 seconds = 5 h 33 min 44 s |
Is 20024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20024 ÷ 2 = 10012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20024 ÷ 4 = 5006) | 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 2) | 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 | Yes (20024 ÷ 8 = 2503) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20024 a prime number?
No. 20024 = × 2503, so it is divisible by 2.
What are the factors of 20024?
1, 2, 4, 8, 2503, 5006, 10012, 20024.
What is 20024 in binary?
100111000111000 (hexadecimal 4E38, octal 47070).
What is the square root of 20024?
About 141.5062, exactly 2√5006.
Is 20024 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 20024?
20024 is a Harshad number: divisible by its digit sum 8.