The number 53028
53028 is a composite number with 24 divisors. Its prime factorisation is × × 491. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 491, 982, 1473, 1964 … 53028.
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How to work it out
- 1
What is special about 53028: a Harshad number: divisible by its digit sum 18.
- 2
53028 is composite. Its prime factorisation is
- 3
The divisors add up to 137760; without 53028 itself that is 84732, so 53028 is abundant (84732 is more than 53028). Euler's totient φ(53028) = 17640 numbers up to 53028 share no factor with it.
- 4
The digits of 53028 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53028 = 2^{2} \times 3^{3} \times 491 \]53028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137760 |
| Euler totient φ(n) | 17640 |
| Square | 2811968784 |
| Cube | 149113080677952 |
| Square root | 230.278093 (= 6√1473) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3028 × |
53028 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand and twenty-eight |
| Binary (base 2) | 1100111100100100 |
| Octal (base 8) | 147444 |
| Hexadecimal (base 16) | CF24 |
| Base 3 | 2200202000 |
| As time | 53028 seconds = 14 h 43 min 48 s |
Is 53028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53028 ÷ 2 = 26514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53028 ÷ 3 = 17676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53028 ÷ 4 = 13257) | 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 | Yes (53028 ÷ 6 = 8838) | 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 | Yes (53028 ÷ 9 = 5892) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53028 ÷ 12 = 4419) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53028 a prime number?
No. 53028 = × × 491, so it is divisible by 2.
What are the factors of 53028?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 491, 982, 1473, 1964, 2946, 4419, 5892, 8838, 13257, 17676, 26514, 53028.
What is 53028 in binary?
1100111100100100 (hexadecimal CF24, octal 147444).
What is the square root of 53028?
About 230.2781, exactly 6√1473.
Is 53028 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53028?
53028 is a Harshad number: divisible by its digit sum 18.