The number 34012
34012 is a composite number with 12 divisors. Its prime factorisation is × 11 × 773. Divisors (12): 1, 2, 4, 11, 22, 44, 773, 1546, 3092, 8503, 17006, 34012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34012 is composite. Its prime factorisation is
- 3
The divisors add up to 65016; without 34012 itself that is 31004, so 34012 is deficient (31004 is less than 34012). Euler's totient φ(34012) = 15440 numbers up to 34012 share no factor with it.
- 4
The digits of 34012 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34012 = 2^{2} \times 11 \times 773 \]34012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65016 |
| Euler totient φ(n) | 15440 |
| Square | 1156816144 |
| Cube | 39345630689728 |
| Square root | 184.423426 (= 2√8503) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.4012 × |
34012 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and twelve |
| Binary (base 2) | 1000010011011100 |
| Octal (base 8) | 102334 |
| Hexadecimal (base 16) | 84DC |
| Base 3 | 1201122201 |
| As time | 34012 seconds = 9 h 26 min 52 s |
Is 34012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34012 ÷ 2 = 17006) | 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 (34012 ÷ 4 = 8503) | 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 6) | 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 4) | 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 | Yes (34012 ÷ 11 = 3092) | 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 34012 a prime number?
No. 34012 = × 11 × 773, so it is divisible by 2.
What are the factors of 34012?
1, 2, 4, 11, 22, 44, 773, 1546, 3092, 8503, 17006, 34012.
What is 34012 in binary?
1000010011011100 (hexadecimal 84DC, octal 102334).
What is the square root of 34012?
About 184.4234, exactly 2√8503.
Is 34012 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 34012?
It is a composite number with 12 divisors.