The number 24038
24038 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 101. Divisors (16): 1, 2, 7, 14, 17, 34, 101, 119, 202, 238, 707, 1414, 1717, 3434, 12019, 24038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24038: a Harshad number: divisible by its digit sum 17.
- 2
24038 is composite. Its prime factorisation is
- 3
The divisors add up to 44064; without 24038 itself that is 20026, so 24038 is deficient (20026 is less than 24038). Euler's totient φ(24038) = 9600 numbers up to 24038 share no factor with it.
- 4
The digits of 24038 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24038 = 2 \times 7 \times 17 \times 101 \]
24038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44064 |
| Euler totient φ(n) | 9600 |
| Square | 577825444 |
| Cube | 13889768022872 |
| Square root | 155.041930 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4038 × |
24038 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and thirty-eight |
| Binary (base 2) | 101110111100110 |
| Octal (base 8) | 56746 |
| Hexadecimal (base 16) | 5DE6 |
| Base 3 | 1012222022 |
| As time | 24038 seconds = 6 h 40 min 38 s |
Is 24038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24038 ÷ 2 = 12019) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (24038 ÷ 7 = 3434) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24038 a prime number?
No. 24038 = 2 × 7 × 17 × 101, so it is divisible by 2.
What are the factors of 24038?
1, 2, 7, 14, 17, 34, 101, 119, 202, 238, 707, 1414, 1717, 3434, 12019, 24038.
What is 24038 in binary?
101110111100110 (hexadecimal 5DE6, octal 56746).
What is the square root of 24038?
About 155.0419.
Is 24038 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24038?
24038 is a Harshad number: divisible by its digit sum 17.