The number 33112
33112 is a composite number with 8 divisors. Its prime factorisation is × 4139. Divisors (8): 1, 2, 4, 8, 4139, 8278, 16556, 33112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33112 is composite. Its prime factorisation is
- 3
The divisors add up to 62100; without 33112 itself that is 28988, so 33112 is deficient (28988 is less than 33112). Euler's totient φ(33112) = 16552 numbers up to 33112 share no factor with it.
- 4
The digits of 33112 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33112 = 2^{3} \times 4139 \]33112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62100 |
| Euler totient φ(n) | 16552 |
| Square | 1096404544 |
| Cube | 36304147260928 |
| Square root | 181.967030 (= 2√8278) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3112 × |
33112 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and twelve |
| Binary (base 2) | 1000000101011000 |
| Octal (base 8) | 100530 |
| Hexadecimal (base 16) | 8158 |
| Base 3 | 1200102101 |
| As time | 33112 seconds = 9 h 11 min 52 s |
Is 33112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33112 ÷ 2 = 16556) | 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 (33112 ÷ 4 = 8278) | 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 | 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 (33112 ÷ 8 = 4139) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 33112 a prime number?
No. 33112 = × 4139, so it is divisible by 2.
What are the factors of 33112?
1, 2, 4, 8, 4139, 8278, 16556, 33112.
What is 33112 in binary?
1000000101011000 (hexadecimal 8158, octal 100530).
What is the square root of 33112?
About 181.9670, exactly 2√8278.
Is 33112 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33112?
It is a composite number with 8 divisors.