The number 38073
38073 is a composite number with 16 divisors. Its prime factorisation is 3 × × 37. Divisors (16): 1, 3, 7, 21, 37, 49, 111, 147, 259, 343, 777, 1029, 1813, 5439, 12691, 38073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38073: a Harshad number: divisible by its digit sum 21.
- 2
38073 is composite. Its prime factorisation is
- 3
The divisors add up to 60800; without 38073 itself that is 22727, so 38073 is deficient (22727 is less than 38073). Euler's totient φ(38073) = 21168 numbers up to 38073 share no factor with it.
- 4
The digits of 38073 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38073 = 3 \times 7^{3} \times 37 \]38073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60800 |
| Euler totient φ(n) | 21168 |
| Square | 1449553329 |
| Cube | 55188843895017 |
| Square root | 195.123038 (= 7√777) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8073 × |
38073 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and seventy-three |
| Binary (base 2) | 1001010010111001 |
| Octal (base 8) | 112271 |
| Hexadecimal (base 16) | 94B9 |
| Base 3 | 1221020010 |
| As time | 38073 seconds = 10 h 34 min 33 s |
Is 38073 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 (38073 ÷ 3 = 12691) | 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 3) | 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 | Yes (38073 ÷ 7 = 5439) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | 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 38073 a prime number?
No. 38073 = 3 × × 37, so it is divisible by 3.
What are the factors of 38073?
1, 3, 7, 21, 37, 49, 111, 147, 259, 343, 777, 1029, 1813, 5439, 12691, 38073.
What is 38073 in binary?
1001010010111001 (hexadecimal 94B9, octal 112271).
What is the square root of 38073?
About 195.1230, exactly 7√777.
Is 38073 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38073?
38073 is a Harshad number: divisible by its digit sum 21.