The number 5321
5321 is a composite number with 4 divisors. Its prime factorisation is 17 × 313. Divisors (4): 1, 17, 313, 5321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5321: a semiprime: 17 × 313, the product of two primes.
- 2
5321 is composite. Its prime factorisation is
- 3
The divisors add up to 5652; without 5321 itself that is 331, so 5321 is deficient (331 is less than 5321). Euler's totient φ(5321) = 4992 numbers up to 5321 share no factor with it.
- 4
The digits of 5321 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
\[ 5321 = 17 \times 313 \]
5321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5652 |
| Euler totient φ(n) | 4992 |
| Square | 28313041 |
| Cube | 150653691161 |
| Square root | 72.945185 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.321 × |
5321 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and twenty-one |
| Binary (base 2) | 1010011001001 |
| Octal (base 8) | 12311 |
| Hexadecimal (base 16) | 14C9 |
| Base 3 | 21022002 |
| As time | 5321 seconds = 1 h 28 min 41 s |
Is 5321 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5321 a prime number?
No. 5321 = 17 × 313, so it is divisible by 17.
What are the factors of 5321?
1, 17, 313, 5321.
What is 5321 in binary?
1010011001001 (hexadecimal 14C9, octal 12311).
What is the square root of 5321?
About 72.9452.
Is 5321 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5321?
5321 is a semiprime: 17 × 313, the product of two primes.