The number 33936
33936 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 101. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 33936.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33936: a Harshad number: divisible by its digit sum 24.
- 2
33936 is composite. Its prime factorisation is
- 3
The divisors add up to 101184; without 33936 itself that is 67248, so 33936 is abundant (67248 is more than 33936). Euler's totient φ(33936) = 9600 numbers up to 33936 share no factor with it.
- 4
The digits of 33936 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33936 = 2^{4} \times 3 \times 7 \times 101 \]33936 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 101184 |
| Euler totient φ(n) | 9600 |
| Square | 1151652096 |
| Cube | 39082465529856 |
| Square root | 184.217263 (= 4√2121) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3936 × |
33936 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and thirty-six |
| Binary (base 2) | 1000010010010000 |
| Octal (base 8) | 102220 |
| Hexadecimal (base 16) | 8490 |
| Base 3 | 1201112220 |
| As time | 33936 seconds = 9 h 25 min 36 s |
Is 33936 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33936 ÷ 2 = 16968) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33936 ÷ 3 = 11312) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33936 ÷ 4 = 8484) | 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 (33936 ÷ 6 = 5656) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33936 ÷ 7 = 4848) | 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 | Yes (33936 ÷ 8 = 4242) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33936 ÷ 12 = 2828) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33936 a prime number?
No. 33936 = × 3 × 7 × 101, so it is divisible by 2.
What are the factors of 33936?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 101, 112, 168, 202, 303, 336, 404, 606, 707, 808, 1212, 1414, 1616, 2121, 2424, 2828, 4242, 4848, 5656, 8484, 11312, 16968, 33936.
What is 33936 in binary?
1000010010010000 (hexadecimal 8490, octal 102220).
What is the square root of 33936?
About 184.2173, exactly 4√2121.
Is 33936 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33936?
33936 is a Harshad number: divisible by its digit sum 24.