The number 34016
34016 is a composite number with 12 divisors. Its prime factorisation is × 1063. Divisors (12): 1, 2, 4, 8, 16, 32, 1063, 2126, 4252, 8504, 17008, 34016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34016 is composite. Its prime factorisation is
- 3
The divisors add up to 67032; without 34016 itself that is 33016, so 34016 is deficient (33016 is less than 34016). Euler's totient φ(34016) = 16992 numbers up to 34016 share no factor with it.
- 4
The digits of 34016 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34016 = 2^{5} \times 1063 \]34016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67032 |
| Euler totient φ(n) | 16992 |
| Square | 1157088256 |
| Cube | 39359514116096 |
| Square root | 184.434270 (= 4√2126) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4016 × |
34016 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and sixteen |
| Binary (base 2) | 1000010011100000 |
| Octal (base 8) | 102340 |
| Hexadecimal (base 16) | 84E0 |
| Base 3 | 1201122212 |
| As time | 34016 seconds = 9 h 26 min 56 s |
Is 34016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34016 ÷ 2 = 17008) | 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 | Yes (34016 ÷ 4 = 8504) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (34016 ÷ 8 = 4252) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34016 a prime number?
No. 34016 = × 1063, so it is divisible by 2.
What are the factors of 34016?
1, 2, 4, 8, 16, 32, 1063, 2126, 4252, 8504, 17008, 34016.
What is 34016 in binary?
1000010011100000 (hexadecimal 84E0, octal 102340).
What is the square root of 34016?
About 184.4343, exactly 4√2126.
Is 34016 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 34016?
It is a composite number with 12 divisors.