The number 34804
34804 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 113. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 113, 154, 226, 308, 452, 791 … 34804.
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How to work it out
- 1
34804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34804 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 34804 itself that is 41804, so 34804 is abundant (41804 is more than 34804). Euler's totient φ(34804) = 13440 numbers up to 34804 share no factor with it.
- 4
The digits of 34804 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34804 = 2^{2} \times 7 \times 11 \times 113 \]34804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 13440 |
| Square | 1211318416 |
| Cube | 42158726150464 |
| Square root | 186.558302 (= 2√8701) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4804 × |
34804 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and four |
| Binary (base 2) | 1000011111110100 |
| Octal (base 8) | 103764 |
| Hexadecimal (base 16) | 87F4 |
| Base 3 | 1202202001 |
| As time | 34804 seconds = 9 h 40 min 4 s |
Is 34804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34804 ÷ 2 = 17402) | 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 (34804 ÷ 4 = 8701) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34804 ÷ 7 = 4972) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34804 ÷ 11 = 3164) | 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 34804 a prime number?
No. 34804 = × 7 × 11 × 113, so it is divisible by 2.
What are the factors of 34804?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 113, 154, 226, 308, 452, 791, 1243, 1582, 2486, 3164, 4972, 8701, 17402, 34804.
What is 34804 in binary?
1000011111110100 (hexadecimal 87F4, octal 103764).
What is the square root of 34804?
About 186.5583, exactly 2√8701.
Is 34804 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 34804?
It is a composite number with 24 divisors.