The number 53084
53084 is a composite number with 12 divisors. Its prime factorisation is × 23 × 577. Divisors (12): 1, 2, 4, 23, 46, 92, 577, 1154, 2308, 13271, 26542, 53084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53084 is composite. Its prime factorisation is
- 3
The divisors add up to 97104; without 53084 itself that is 44020, so 53084 is deficient (44020 is less than 53084). Euler's totient φ(53084) = 25344 numbers up to 53084 share no factor with it.
- 4
The digits of 53084 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53084 = 2^{2} \times 23 \times 577 \]53084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97104 |
| Euler totient φ(n) | 25344 |
| Square | 2817911056 |
| Cube | 149585990496704 |
| Square root | 230.399653 (= 2√13271) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3084 × |
53084 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand and eighty-four |
| Binary (base 2) | 1100111101011100 |
| Octal (base 8) | 147534 |
| Hexadecimal (base 16) | CF5C |
| Base 3 | 2200211002 |
| As time | 53084 seconds = 14 h 44 min 44 s |
Is 53084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53084 ÷ 2 = 26542) | 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 (53084 ÷ 4 = 13271) | 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 3) | 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 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 9) | 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 53084 a prime number?
No. 53084 = × 23 × 577, so it is divisible by 2.
What are the factors of 53084?
1, 2, 4, 23, 46, 92, 577, 1154, 2308, 13271, 26542, 53084.
What is 53084 in binary?
1100111101011100 (hexadecimal CF5C, octal 147534).
What is the square root of 53084?
About 230.3997, exactly 2√13271.
Is 53084 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53084?
It is a composite number with 12 divisors.