The number 84504
84504 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 503. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 84504.
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How to work it out
- 1
What is special about 84504: a Harshad number: divisible by its digit sum 21.
- 2
84504 is composite. Its prime factorisation is
- 3
The divisors add up to 241920; without 84504 itself that is 157416, so 84504 is abundant (157416 is more than 84504). Euler's totient φ(84504) = 24096 numbers up to 84504 share no factor with it.
- 4
The digits of 84504 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84504 = 2^{3} \times 3 \times 7 \times 503 \]84504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 241920 |
| Euler totient φ(n) | 24096 |
| Square | 7140926016 |
| Cube | 603436812056064 |
| Square root | 290.695717 (= 2√21126) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.4504 × |
84504 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand five hundred and four |
| Binary (base 2) | 10100101000011000 |
| Octal (base 8) | 245030 |
| Hexadecimal (base 16) | 14A18 |
| Base 3 | 11021220210 |
| As time | 84504 seconds = 23 h 28 min 24 s |
Is 84504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84504 ÷ 2 = 42252) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84504 ÷ 3 = 28168) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84504 ÷ 4 = 21126) | 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 | Yes (84504 ÷ 6 = 14084) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (84504 ÷ 7 = 12072) | 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 (84504 ÷ 8 = 10563) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (84504 ÷ 12 = 7042) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84504 a prime number?
No. 84504 = × 3 × 7 × 503, so it is divisible by 2.
What are the factors of 84504?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 503, 1006, 1509, 2012, 3018, 3521, 4024, 6036, 7042, 10563, 12072, 14084, 21126, 28168, 42252, 84504.
What is 84504 in binary?
10100101000011000 (hexadecimal 14A18, octal 245030).
What is the square root of 84504?
About 290.6957, exactly 2√21126.
Is 84504 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84504?
84504 is a Harshad number: divisible by its digit sum 21.