The number 83804
83804 is a composite number with 24 divisors. Its prime factorisation is × 7 × 41 × 73. Divisors (24): 1, 2, 4, 7, 14, 28, 41, 73, 82, 146, 164, 287, 292, 511, 574, 1022 … 83804.
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How to work it out
- 1
83804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83804 is composite. Its prime factorisation is
- 3
The divisors add up to 174048; without 83804 itself that is 90244, so 83804 is abundant (90244 is more than 83804). Euler's totient φ(83804) = 34560 numbers up to 83804 share no factor with it.
- 4
The digits of 83804 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83804 = 2^{2} \times 7 \times 41 \times 73 \]83804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 174048 |
| Euler totient φ(n) | 34560 |
| Square | 7023110416 |
| Cube | 588564745302464 |
| Square root | 289.489205 (= 2√20951) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3804 × |
83804 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and four |
| Binary (base 2) | 10100011101011100 |
| Octal (base 8) | 243534 |
| Hexadecimal (base 16) | 1475C |
| Base 3 | 11020221212 |
| As time | 83804 seconds = 23 h 16 min 44 s |
Is 83804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83804 ÷ 2 = 41902) | 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 (83804 ÷ 4 = 20951) | 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 | Yes (83804 ÷ 7 = 11972) | 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 5) | 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 6) | 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 83804 a prime number?
No. 83804 = × 7 × 41 × 73, so it is divisible by 2.
What are the factors of 83804?
1, 2, 4, 7, 14, 28, 41, 73, 82, 146, 164, 287, 292, 511, 574, 1022, 1148, 2044, 2993, 5986, 11972, 20951, 41902, 83804.
What is 83804 in binary?
10100011101011100 (hexadecimal 1475C, octal 243534).
What is the square root of 83804?
About 289.4892, exactly 2√20951.
Is 83804 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83804?
It is a composite number with 24 divisors.