The number 33014
33014 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 971. Divisors (8): 1, 2, 17, 34, 971, 1942, 16507, 33014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33014 is composite. Its prime factorisation is
- 3
The divisors add up to 52488; without 33014 itself that is 19474, so 33014 is deficient (19474 is less than 33014). Euler's totient φ(33014) = 15520 numbers up to 33014 share no factor with it.
- 4
The digits of 33014 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33014 = 2 \times 17 \times 971 \]
33014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52488 |
| Euler totient φ(n) | 15520 |
| Square | 1089924196 |
| Cube | 35982757406744 |
| Square root | 181.697551 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.3014 × |
33014 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and fourteen |
| Binary (base 2) | 1000000011110110 |
| Octal (base 8) | 100366 |
| Hexadecimal (base 16) | 80F6 |
| Base 3 | 1200021202 |
| As time | 33014 seconds = 9 h 10 min 14 s |
Is 33014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33014 ÷ 2 = 16507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33014 a prime number?
No. 33014 = 2 × 17 × 971, so it is divisible by 2.
What are the factors of 33014?
1, 2, 17, 34, 971, 1942, 16507, 33014.
What is 33014 in binary?
1000000011110110 (hexadecimal 80F6, octal 100366).
What is the square root of 33014?
About 181.6976.
Is 33014 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33014?
It is a composite number with 8 divisors.