The number 5300
5300 is a composite number with 18 divisors. Its prime factorisation is × × 53. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325 … 5300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5300 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5300 is composite. Its prime factorisation is
- 3
The divisors add up to 11718; without 5300 itself that is 6418, so 5300 is abundant (6418 is more than 5300). Euler's totient φ(5300) = 2080 numbers up to 5300 share no factor with it.
- 4
The digits of 5300 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5300 = 2^{2} \times 5^{2} \times 53 \]5300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 11718 |
| Euler totient φ(n) | 2080 |
| Square | 28090000 |
| Cube | 148877000000 |
| Square root | 72.801099 (= 10√53) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.3 × |
5300 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred |
| Binary (base 2) | 1010010110100 |
| Octal (base 8) | 12264 |
| Hexadecimal (base 16) | 14B4 |
| Base 3 | 21021022 |
| As time | 5300 seconds = 1 h 28 min 20 s |
Is 5300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5300 ÷ 2 = 2650) | 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 (5300 ÷ 4 = 1325) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5300 ÷ 5 = 1060) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5300 ÷ 10 = 530) | 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 5300 a prime number?
No. 5300 = × × 53, so it is divisible by 2.
What are the factors of 5300?
1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300.
What is 5300 in binary?
1010010110100 (hexadecimal 14B4, octal 12264).
What is the square root of 5300?
About 72.8011, exactly 10√53.
Is 5300 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 5300?
It is a composite number with 18 divisors.