The number 34004
34004 is a composite number with 6 divisors. Its prime factorisation is × 8501. Divisors (6): 1, 2, 4, 8501, 17002, 34004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34004 is composite. Its prime factorisation is
- 3
The divisors add up to 59514; without 34004 itself that is 25510, so 34004 is deficient (25510 is less than 34004). Euler's totient φ(34004) = 17000 numbers up to 34004 share no factor with it.
- 4
The digits of 34004 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34004 = 2^{2} \times 8501 \]34004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 59514 |
| Euler totient φ(n) | 17000 |
| Square | 1156272016 |
| Cube | 39317873632064 |
| Square root | 184.401735 (= 2√8501) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4004 × |
34004 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and four |
| Binary (base 2) | 1000010011010100 |
| Octal (base 8) | 102324 |
| Hexadecimal (base 16) | 84D4 |
| Base 3 | 1201122102 |
| As time | 34004 seconds = 9 h 26 min 44 s |
Is 34004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34004 ÷ 2 = 17002) | 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 (34004 ÷ 4 = 8501) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 34004 a prime number?
No. 34004 = × 8501, so it is divisible by 2.
What are the factors of 34004?
1, 2, 4, 8501, 17002, 34004.
What is 34004 in binary?
1000010011010100 (hexadecimal 84D4, octal 102324).
What is the square root of 34004?
About 184.4017, exactly 2√8501.
Is 34004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 34004?
It is a composite number with 6 divisors.