The number 5330
5330 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 41. Divisors (16): 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5330 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5330 is composite. Its prime factorisation is
- 3
The divisors add up to 10584; without 5330 itself that is 5254, so 5330 is deficient (5254 is less than 5330). Euler's totient φ(5330) = 1920 numbers up to 5330 share no factor with it.
- 4
The digits of 5330 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5330 = 2 \times 5 \times 13 \times 41 \]
5330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10584 |
| Euler totient φ(n) | 1920 |
| Square | 28408900 |
| Cube | 151419437000 |
| Square root | 73.006849 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.33 × |
5330 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty |
| Binary (base 2) | 1010011010010 |
| Octal (base 8) | 12322 |
| Hexadecimal (base 16) | 14D2 |
| Base 3 | 21022102 |
| As time | 5330 seconds = 1 h 28 min 50 s |
Is 5330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5330 ÷ 2 = 2665) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5330 ÷ 5 = 1066) | 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 2) | 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 | Yes (5330 ÷ 10 = 533) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5330 a prime number?
No. 5330 = 2 × 5 × 13 × 41, so it is divisible by 2.
What are the factors of 5330?
1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330.
What is 5330 in binary?
1010011010010 (hexadecimal 14D2, octal 12322).
What is the square root of 5330?
About 73.0068.
Is 5330 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5330?
It is a composite number with 16 divisors.