The number 33498
33498 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1861. Divisors (12): 1, 2, 3, 6, 9, 18, 1861, 3722, 5583, 11166, 16749, 33498.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33498 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33498 is composite. Its prime factorisation is
- 3
The divisors add up to 72618; without 33498 itself that is 39120, so 33498 is abundant (39120 is more than 33498). Euler's totient φ(33498) = 11160 numbers up to 33498 share no factor with it.
- 4
The digits of 33498 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33498 = 2 \times 3^{2} \times 1861 \]33498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72618 |
| Euler totient φ(n) | 11160 |
| Square | 1122116004 |
| Cube | 37588641901992 |
| Square root | 183.024589 (= 3√3722) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3498 × |
33498 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and ninety-eight |
| Binary (base 2) | 1000001011011010 |
| Octal (base 8) | 101332 |
| Hexadecimal (base 16) | 82DA |
| Base 3 | 1200221200 |
| As time | 33498 seconds = 9 h 18 min 18 s |
Is 33498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33498 ÷ 2 = 16749) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33498 ÷ 3 = 11166) | 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 | Yes (33498 ÷ 6 = 5583) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33498 ÷ 9 = 3722) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33498 a prime number?
No. 33498 = 2 × × 1861, so it is divisible by 2.
What are the factors of 33498?
1, 2, 3, 6, 9, 18, 1861, 3722, 5583, 11166, 16749, 33498.
What is 33498 in binary?
1000001011011010 (hexadecimal 82DA, octal 101332).
What is the square root of 33498?
About 183.0246, exactly 3√3722.
Is 33498 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33498?
It is a composite number with 12 divisors.