The number 33426
33426 is a composite number with 16 divisors. Its prime factorisation is 2 × × 619. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 619, 1238, 1857, 3714, 5571, 11142, 16713, 33426.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33426: a Harshad number: divisible by its digit sum 18.
- 2
33426 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 33426 itself that is 40974, so 33426 is abundant (40974 is more than 33426). Euler's totient φ(33426) = 11124 numbers up to 33426 share no factor with it.
- 4
The digits of 33426 add up to 18, 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
\[ 33426 = 2 \times 3^{3} \times 619 \]33426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 11124 |
| Square | 1117297476 |
| Cube | 37346785432776 |
| Square root | 182.827788 (= 3√3714) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3426 × |
33426 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and twenty-six |
| Binary (base 2) | 1000001010010010 |
| Octal (base 8) | 101222 |
| Hexadecimal (base 16) | 8292 |
| Base 3 | 1200212000 |
| As time | 33426 seconds = 9 h 17 min 6 s |
Is 33426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33426 ÷ 2 = 16713) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33426 ÷ 3 = 11142) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33426 ÷ 6 = 5571) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (33426 ÷ 9 = 3714) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 33426 a prime number?
No. 33426 = 2 × × 619, so it is divisible by 2.
What are the factors of 33426?
1, 2, 3, 6, 9, 18, 27, 54, 619, 1238, 1857, 3714, 5571, 11142, 16713, 33426.
What is 33426 in binary?
1000001010010010 (hexadecimal 8292, octal 101222).
What is the square root of 33426?
About 182.8278, exactly 3√3714.
Is 33426 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33426?
33426 is a Harshad number: divisible by its digit sum 18.