The number 34011
34011 is a composite number with 6 divisors. Its prime factorisation is × 3779. Divisors (6): 1, 3, 9, 3779, 11337, 34011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34011: a Harshad number: divisible by its digit sum 9.
- 2
34011 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 34011 itself that is 15129, so 34011 is deficient (15129 is less than 34011). Euler's totient φ(34011) = 22668 numbers up to 34011 share no factor with it.
- 4
The digits of 34011 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34011 = 3^{2} \times 3779 \]34011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 22668 |
| Square | 1156748121 |
| Cube | 39342160343331 |
| Square root | 184.420715 (= 3√3779) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.4011 × |
34011 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and eleven |
| Binary (base 2) | 1000010011011011 |
| Octal (base 8) | 102333 |
| Hexadecimal (base 16) | 84DB |
| Base 3 | 1201122200 |
| As time | 34011 seconds = 9 h 26 min 51 s |
Is 34011 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 | Yes (34011 ÷ 3 = 11337) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34011 ÷ 9 = 3779) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34011 a prime number?
No. 34011 = × 3779, so it is divisible by 3.
What are the factors of 34011?
1, 3, 9, 3779, 11337, 34011.
What is 34011 in binary?
1000010011011011 (hexadecimal 84DB, octal 102333).
What is the square root of 34011?
About 184.4207, exactly 3√3779.
Is 34011 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 34011?
34011 is a Harshad number: divisible by its digit sum 9.