The number 33462
33462 is a composite number with 36 divisors. Its prime factorisation is 2 × × 11 × . Divisors (36): 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117 … 33462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33462: a Harshad number: divisible by its digit sum 18.
- 2
33462 is composite. Its prime factorisation is
- 3
The divisors add up to 85644; without 33462 itself that is 52182, so 33462 is abundant (52182 is more than 33462). Euler's totient φ(33462) = 9360 numbers up to 33462 share no factor with it.
- 4
The digits of 33462 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
\[ 33462 = 2 \times 3^{2} \times 11 \times 13^{2} \]33462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 85644 |
| Euler totient φ(n) | 9360 |
| Square | 1119705444 |
| Cube | 37467583567128 |
| Square root | 182.926215 (= 39√22) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3462 × |
33462 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and sixty-two |
| Binary (base 2) | 1000001010110110 |
| Octal (base 8) | 101266 |
| Hexadecimal (base 16) | 82B6 |
| Base 3 | 1200220100 |
| As time | 33462 seconds = 9 h 17 min 42 s |
Is 33462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33462 ÷ 2 = 16731) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33462 ÷ 3 = 11154) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33462 ÷ 6 = 5577) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33462 ÷ 9 = 3718) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33462 ÷ 11 = 3042) | 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 33462 a prime number?
No. 33462 = 2 × × 11 × , so it is divisible by 2.
What are the factors of 33462?
1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 169, 198, 234, 286, 338, 429, 507, 858, 1014, 1287, 1521, 1859, 2574, 3042, 3718, 5577, 11154, 16731, 33462.
What is 33462 in binary?
1000001010110110 (hexadecimal 82B6, octal 101266).
What is the square root of 33462?
About 182.9262, exactly 39√22.
Is 33462 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33462?
33462 is a Harshad number: divisible by its digit sum 18.