The number 33136
33136 is a composite number with 20 divisors. Its prime factorisation is × 19 × 109. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 109, 152, 218, 304, 436, 872, 1744, 2071 … 33136.
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How to work it out
- 1
What is special about 33136: a Harshad number: divisible by its digit sum 16.
- 2
33136 is composite. Its prime factorisation is
- 3
The divisors add up to 68200; without 33136 itself that is 35064, so 33136 is abundant (35064 is more than 33136). Euler's totient φ(33136) = 15552 numbers up to 33136 share no factor with it.
- 4
The digits of 33136 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33136 = 2^{4} \times 19 \times 109 \]33136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 68200 |
| Euler totient φ(n) | 15552 |
| Square | 1097994496 |
| Cube | 36383145619456 |
| Square root | 182.032964 (= 4√2071) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3136 × |
33136 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty-six |
| Binary (base 2) | 1000000101110000 |
| Octal (base 8) | 100560 |
| Hexadecimal (base 16) | 8170 |
| Base 3 | 1200110021 |
| As time | 33136 seconds = 9 h 12 min 16 s |
Is 33136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33136 ÷ 2 = 16568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33136 ÷ 4 = 8284) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (33136 ÷ 8 = 4142) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33136 a prime number?
No. 33136 = × 19 × 109, so it is divisible by 2.
What are the factors of 33136?
1, 2, 4, 8, 16, 19, 38, 76, 109, 152, 218, 304, 436, 872, 1744, 2071, 4142, 8284, 16568, 33136.
What is 33136 in binary?
1000000101110000 (hexadecimal 8170, octal 100560).
What is the square root of 33136?
About 182.0330, exactly 4√2071.
Is 33136 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33136?
33136 is a Harshad number: divisible by its digit sum 16.