The number 38038
38038 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 11 × 13 × 19. Divisors (32): 1, 2, 7, 11, 13, 14, 19, 22, 26, 38, 77, 91, 133, 143, 154, 182 … 38038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38038: a Harshad number: divisible by its digit sum 22.
- 2
38038 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 38038 itself that is 42602, so 38038 is abundant (42602 is more than 38038). Euler's totient φ(38038) = 12960 numbers up to 38038 share no factor with it.
- 4
The digits of 38038 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38038 = 2 \times 7 \times 11 \times 13 \times 19 \]
38038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 12960 |
| Square | 1446889444 |
| Cube | 55036780670872 |
| Square root | 195.033330 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8038 × |
38038 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and thirty-eight |
| Binary (base 2) | 1001010010010110 |
| Octal (base 8) | 112226 |
| Hexadecimal (base 16) | 9496 |
| Base 3 | 1221011211 |
| As time | 38038 seconds = 10 h 33 min 58 s |
Is 38038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38038 ÷ 2 = 19019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38038 ÷ 7 = 5434) | 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 4) | 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 | Yes (38038 ÷ 11 = 3458) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38038 a prime number?
No. 38038 = 2 × 7 × 11 × 13 × 19, so it is divisible by 2.
What are the factors of 38038?
1, 2, 7, 11, 13, 14, 19, 22, 26, 38, 77, 91, 133, 143, 154, 182, 209, 247, 266, 286, 418, 494, 1001, 1463, 1729, 2002, 2717, 2926, 3458, 5434, 19019, 38038.
What is 38038 in binary?
1001010010010110 (hexadecimal 9496, octal 112226).
What is the square root of 38038?
About 195.0333.
Is 38038 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38038?
38038 is a Harshad number: divisible by its digit sum 22.