The number 84513
84513 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 197. Divisors (16): 1, 3, 11, 13, 33, 39, 143, 197, 429, 591, 2167, 2561, 6501, 7683, 28171, 84513.
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How to work it out
- 1
84513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84513 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 84513 itself that is 48543, so 84513 is deficient (48543 is less than 84513). Euler's totient φ(84513) = 47040 numbers up to 84513 share no factor with it.
- 4
The digits of 84513 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
\[ 84513 = 3 \times 11 \times 13 \times 197 \]
84513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 47040 |
| Square | 7142447169 |
| Cube | 603629637593697 |
| Square root | 290.711197 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.4513 × |
84513 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand five hundred and thirteen |
| Binary (base 2) | 10100101000100001 |
| Octal (base 8) | 245041 |
| Hexadecimal (base 16) | 14A21 |
| Base 3 | 11021221010 |
| As time | 84513 seconds = 23 h 28 min 33 s |
Is 84513 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84513 ÷ 3 = 28171) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (84513 ÷ 11 = 7683) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84513 a prime number?
No. 84513 = 3 × 11 × 13 × 197, so it is divisible by 3.
What are the factors of 84513?
1, 3, 11, 13, 33, 39, 143, 197, 429, 591, 2167, 2561, 6501, 7683, 28171, 84513.
What is 84513 in binary?
10100101000100001 (hexadecimal 14A21, octal 245041).
What is the square root of 84513?
About 290.7112.
Is 84513 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84513?
It is a composite number with 16 divisors.