The number 83504
83504 is a composite number with 20 divisors. Its prime factorisation is × 17 × 307. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 307, 614, 1228, 2456, 4912, 5219 … 83504.
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How to work it out
- 1
83504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83504 is composite. Its prime factorisation is
- 3
The divisors add up to 171864; without 83504 itself that is 88360, so 83504 is abundant (88360 is more than 83504). Euler's totient φ(83504) = 39168 numbers up to 83504 share no factor with it.
- 4
The digits of 83504 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83504 = 2^{4} \times 17 \times 307 \]83504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 171864 |
| Euler totient φ(n) | 39168 |
| Square | 6972918016 |
| Cube | 582266546008064 |
| Square root | 288.970587 (= 4√5219) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.3504 × |
83504 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand five hundred and four |
| Binary (base 2) | 10100011000110000 |
| Octal (base 8) | 243060 |
| Hexadecimal (base 16) | 14630 |
| Base 3 | 11020112202 |
| As time | 83504 seconds = 23 h 11 min 44 s |
Is 83504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83504 ÷ 2 = 41752) | 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 (83504 ÷ 4 = 20876) | 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 1) | 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 | Yes (83504 ÷ 8 = 10438) | 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 83504 a prime number?
No. 83504 = × 17 × 307, so it is divisible by 2.
What are the factors of 83504?
1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 307, 614, 1228, 2456, 4912, 5219, 10438, 20876, 41752, 83504.
What is 83504 in binary?
10100011000110000 (hexadecimal 14630, octal 243060).
What is the square root of 83504?
About 288.9706, exactly 4√5219.
Is 83504 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 83504?
It is a composite number with 20 divisors.