The number 33616
33616 is a composite number with 20 divisors. Its prime factorisation is × 11 × 191. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 191, 382, 764, 1528, 2101, 3056 … 33616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33616: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33616 is composite. Its prime factorisation is
- 3
The divisors add up to 71424; without 33616 itself that is 37808, so 33616 is abundant (37808 is more than 33616). Euler's totient φ(33616) = 15200 numbers up to 33616 share no factor with it.
- 4
The digits of 33616 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33616 = 2^{4} \times 11 \times 191 \]33616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 71424 |
| Euler totient φ(n) | 15200 |
| Square | 1130035456 |
| Cube | 37987271888896 |
| Square root | 183.346666 (= 4√2101) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3616 × |
33616 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and sixteen |
| Binary (base 2) | 1000001101010000 |
| Octal (base 8) | 101520 |
| Hexadecimal (base 16) | 8350 |
| Base 3 | 1201010001 |
| As time | 33616 seconds = 9 h 20 min 16 s |
Is 33616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33616 ÷ 2 = 16808) | 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 (33616 ÷ 4 = 8404) | 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 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 | Yes (33616 ÷ 8 = 4202) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (33616 ÷ 11 = 3056) | 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 33616 a prime number?
No. 33616 = × 11 × 191, so it is divisible by 2.
What are the factors of 33616?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 191, 382, 764, 1528, 2101, 3056, 4202, 8404, 16808, 33616.
What is 33616 in binary?
1000001101010000 (hexadecimal 8350, octal 101520).
What is the square root of 33616?
About 183.3467, exactly 4√2101.
Is 33616 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33616?
33616 is a happy number: repeatedly adding the squares of its digits reaches 1.