The number 38023
38023 is a composite number with 4 divisors. Its prime factorisation is 47 × 809. Divisors (4): 1, 47, 809, 38023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38023: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 809, the product of two primes.
- 2
38023 is composite. Its prime factorisation is
- 3
The divisors add up to 38880; without 38023 itself that is 857, so 38023 is deficient (857 is less than 38023). Euler's totient φ(38023) = 37168 numbers up to 38023 share no factor with it.
- 4
The digits of 38023 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38023 = 47 \times 809 \]
38023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 38880 |
| Euler totient φ(n) | 37168 |
| Square | 1445748529 |
| Cube | 54971696318167 |
| Square root | 194.994872 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.8023 × |
38023 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and twenty-three |
| Binary (base 2) | 1001010010000111 |
| Octal (base 8) | 112207 |
| Hexadecimal (base 16) | 9487 |
| Base 3 | 1221011021 |
| As time | 38023 seconds = 10 h 33 min 43 s |
Is 38023 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38023 a prime number?
No. 38023 = 47 × 809, so it is divisible by 47.
What are the factors of 38023?
1, 47, 809, 38023.
What is 38023 in binary?
1001010010000111 (hexadecimal 9487, octal 112207).
What is the square root of 38023?
About 194.9949.
Is 38023 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38023?
38023 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 809, the product of two primes.