The number 34013
34013 is a composite number with 8 divisors. Its prime factorisation is 7 × 43 × 113. Divisors (8): 1, 7, 43, 113, 301, 791, 4859, 34013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34013 is composite. Its prime factorisation is
- 3
The divisors add up to 40128; without 34013 itself that is 6115, so 34013 is deficient (6115 is less than 34013). Euler's totient φ(34013) = 28224 numbers up to 34013 share no factor with it.
- 4
The digits of 34013 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34013 = 7 \times 43 \times 113 \]
34013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40128 |
| Euler totient φ(n) | 28224 |
| Square | 1156884169 |
| Cube | 39349101240197 |
| Square root | 184.426137 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.4013 × |
34013 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and thirteen |
| Binary (base 2) | 1000010011011101 |
| Octal (base 8) | 102335 |
| Hexadecimal (base 16) | 84DD |
| Base 3 | 1201122202 |
| As time | 34013 seconds = 9 h 26 min 53 s |
Is 34013 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34013 ÷ 7 = 4859) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34013 a prime number?
No. 34013 = 7 × 43 × 113, so it is divisible by 7.
What are the factors of 34013?
1, 7, 43, 113, 301, 791, 4859, 34013.
What is 34013 in binary?
1000010011011101 (hexadecimal 84DD, octal 102335).
What is the square root of 34013?
About 184.4261.
Is 34013 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 34013?
It is a composite number with 8 divisors.