The number 34001
34001 is a composite number with 6 divisors. Its prime factorisation is Ć 281. Divisors (6): 1, 11, 121, 281, 3091, 34001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34001 is composite. Its prime factorisation is
- 3
The divisors add up to 37506; without 34001 itself that is 3505, so 34001 is deficient (3505 is less than 34001). Euler's totient Ļ(34001) = 30800 numbers up to 34001 share no factor with it.
- 4
The digits of 34001 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34001 = 11^{2} \times 281 \]34001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 37506 |
| Euler totient Ļ(n) | 30800 |
| Square | 1156068001 |
| Cube | 39307468102001 |
| Square root | 184.393601 (= 11ā281) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.4001 Ć |
34001 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and one |
| Binary (base 2) | 1000010011010001 |
| Octal (base 8) | 102321 |
| Hexadecimal (base 16) | 84D1 |
| Base 3 | 1201122022 |
| As time | 34001 seconds = 9 h 26 min 41 s |
Is 34001 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 1) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (34001 Ć· 11 = 3091) | 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 34001 a prime number?
No. 34001 = Ć 281, so it is divisible by 11.
What are the factors of 34001?
1, 11, 121, 281, 3091, 34001.
What is 34001 in binary?
1000010011010001 (hexadecimal 84D1, octal 102321).
What is the square root of 34001?
About 184.3936, exactly 11ā281.
Is 34001 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 34001?
It is a composite number with 6 divisors.