The number 24021
24021 is a composite number with 12 divisors. Its prime factorisation is × 17 × 157. Divisors (12): 1, 3, 9, 17, 51, 153, 157, 471, 1413, 2669, 8007, 24021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24021: a Harshad number: divisible by its digit sum 9.
- 2
24021 is composite. Its prime factorisation is
- 3
The divisors add up to 36972; without 24021 itself that is 12951, so 24021 is deficient (12951 is less than 24021). Euler's totient φ(24021) = 14976 numbers up to 24021 share no factor with it.
- 4
The digits of 24021 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24021 = 3^{2} \times 17 \times 157 \]24021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36972 |
| Euler totient φ(n) | 14976 |
| Square | 577008441 |
| Cube | 13860319761261 |
| Square root | 154.987096 (= 3√2669) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4021 × |
24021 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and twenty-one |
| Binary (base 2) | 101110111010101 |
| Octal (base 8) | 56725 |
| Hexadecimal (base 16) | 5DD5 |
| Base 3 | 1012221200 |
| As time | 24021 seconds = 6 h 40 min 21 s |
Is 24021 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 (24021 ÷ 3 = 8007) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24021 ÷ 9 = 2669) | 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 8) | 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 24021 a prime number?
No. 24021 = × 17 × 157, so it is divisible by 3.
What are the factors of 24021?
1, 3, 9, 17, 51, 153, 157, 471, 1413, 2669, 8007, 24021.
What is 24021 in binary?
101110111010101 (hexadecimal 5DD5, octal 56725).
What is the square root of 24021?
About 154.9871, exactly 3√2669.
Is 24021 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 24021?
24021 is a Harshad number: divisible by its digit sum 9.