The number 38033
38033 is a composite number with 4 divisors. Its prime factorisation is 73 × 521. Divisors (4): 1, 73, 521, 38033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38033: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 521, the product of two primes.
- 2
38033 is composite. Its prime factorisation is
- 3
The divisors add up to 38628; without 38033 itself that is 595, so 38033 is deficient (595 is less than 38033). Euler's totient φ(38033) = 37440 numbers up to 38033 share no factor with it.
- 4
The digits of 38033 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38033 = 73 \times 521 \]
38033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 38628 |
| Euler totient φ(n) | 37440 |
| Square | 1446509089 |
| Cube | 55015080181937 |
| Square root | 195.020512 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8033 × |
38033 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and thirty-three |
| Binary (base 2) | 1001010010010001 |
| Octal (base 8) | 112221 |
| Hexadecimal (base 16) | 9491 |
| Base 3 | 1221011122 |
| As time | 38033 seconds = 10 h 33 min 53 s |
Is 38033 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38033 a prime number?
No. 38033 = 73 × 521, so it is divisible by 73.
What are the factors of 38033?
1, 73, 521, 38033.
What is 38033 in binary?
1001010010010001 (hexadecimal 9491, octal 112221).
What is the square root of 38033?
About 195.0205.
Is 38033 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38033?
38033 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 521, the product of two primes.