The number 5322
5322 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 887. Divisors (8): 1, 2, 3, 6, 887, 1774, 2661, 5322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5322 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5322 is composite. Its prime factorisation is
- 3
The divisors add up to 10656; without 5322 itself that is 5334, so 5322 is abundant (5334 is more than 5322). Euler's totient φ(5322) = 1772 numbers up to 5322 share no factor with it.
- 4
The digits of 5322 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5322 = 2 \times 3 \times 887 \]
5322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10656 |
| Euler totient φ(n) | 1772 |
| Square | 28323684 |
| Cube | 150738646248 |
| Square root | 72.952039 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.322 × |
5322 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and twenty-two |
| Binary (base 2) | 1010011001010 |
| Octal (base 8) | 12312 |
| Hexadecimal (base 16) | 14CA |
| Base 3 | 21022010 |
| As time | 5322 seconds = 1 h 28 min 42 s |
Is 5322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5322 ÷ 2 = 2661) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5322 ÷ 3 = 1774) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5322 ÷ 6 = 887) | 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 2) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5322 a prime number?
No. 5322 = 2 × 3 × 887, so it is divisible by 2.
What are the factors of 5322?
1, 2, 3, 6, 887, 1774, 2661, 5322.
What is 5322 in binary?
1010011001010 (hexadecimal 14CA, octal 12312).
What is the square root of 5322?
About 72.9520.
Is 5322 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5322?
It is a composite number with 8 divisors.