The number 33038
33038 is a composite number with 4 divisors. Its prime factorisation is 2 × 16519. Divisors (4): 1, 2, 16519, 33038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33038: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16519, the product of two primes.
- 2
33038 is composite. Its prime factorisation is
- 3
The divisors add up to 49560; without 33038 itself that is 16522, so 33038 is deficient (16522 is less than 33038). Euler's totient φ(33038) = 16518 numbers up to 33038 share no factor with it.
- 4
The digits of 33038 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33038 = 2 \times 16519 \]
33038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49560 |
| Euler totient φ(n) | 16518 |
| Square | 1091509444 |
| Cube | 36061289010872 |
| Square root | 181.763583 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3038 × |
33038 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and thirty-eight |
| Binary (base 2) | 1000000100001110 |
| Octal (base 8) | 100416 |
| Hexadecimal (base 16) | 810E |
| Base 3 | 1200022122 |
| As time | 33038 seconds = 9 h 10 min 38 s |
Is 33038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33038 ÷ 2 = 16519) | 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 | No (remainder 5) | 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 5) | 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 33038 a prime number?
No. 33038 = 2 × 16519, so it is divisible by 2.
What are the factors of 33038?
1, 2, 16519, 33038.
What is 33038 in binary?
1000000100001110 (hexadecimal 810E, octal 100416).
What is the square root of 33038?
About 181.7636.
Is 33038 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33038?
33038 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16519, the product of two primes.