The number 33852
33852 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 13 × 31. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 31, 39, 42, 52 … 33852.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33852: a Harshad number: divisible by its digit sum 21.
- 2
33852 is composite. Its prime factorisation is
- 3
The divisors add up to 100352; without 33852 itself that is 66500, so 33852 is abundant (66500 is more than 33852). Euler's totient φ(33852) = 8640 numbers up to 33852 share no factor with it.
- 4
The digits of 33852 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33852 = 2^{2} \times 3 \times 7 \times 13 \times 31 \]33852 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 100352 |
| Euler totient φ(n) | 8640 |
| Square | 1145957904 |
| Cube | 38792966966208 |
| Square root | 183.989130 (= 2√8463) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3852 × |
33852 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and fifty-two |
| Binary (base 2) | 1000010000111100 |
| Octal (base 8) | 102074 |
| Hexadecimal (base 16) | 843C |
| Base 3 | 1201102210 |
| As time | 33852 seconds = 9 h 24 min 12 s |
Is 33852 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33852 ÷ 2 = 16926) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33852 ÷ 3 = 11284) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33852 ÷ 4 = 8463) | 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 (33852 ÷ 6 = 5642) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33852 ÷ 7 = 4836) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33852 ÷ 12 = 2821) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33852 a prime number?
No. 33852 = × 3 × 7 × 13 × 31, so it is divisible by 2.
What are the factors of 33852?
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 31, 39, 42, 52, 62, 78, 84, 91, 93, 124, 156, 182, 186, 217, 273, 364, 372, 403, 434, 546, 651, 806, 868, 1092, 1209, 1302, 1612, 2418, 2604, 2821, 4836, 5642, 8463, 11284, 16926, 33852.
What is 33852 in binary?
1000010000111100 (hexadecimal 843C, octal 102074).
What is the square root of 33852?
About 183.9891, exactly 2√8463.
Is 33852 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33852?
33852 is a Harshad number: divisible by its digit sum 21.