The number 13321
13321 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 173. Divisors (8): 1, 7, 11, 77, 173, 1211, 1903, 13321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13321 is composite. Its prime factorisation is
- 3
The divisors add up to 16704; without 13321 itself that is 3383, so 13321 is deficient (3383 is less than 13321). Euler's totient φ(13321) = 10320 numbers up to 13321 share no factor with it.
- 4
The digits of 13321 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13321 = 7 \times 11 \times 173 \]
13321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16704 |
| Euler totient φ(n) | 10320 |
| Square | 177449041 |
| Cube | 2363798675161 |
| Square root | 115.416637 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3321 × |
13321 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-one |
| Binary (base 2) | 11010000001001 |
| Octal (base 8) | 32011 |
| Hexadecimal (base 16) | 3409 |
| Base 3 | 200021101 |
| As time | 13321 seconds = 3 h 42 min 1 s |
Is 13321 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13321 ÷ 7 = 1903) | 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 1) | 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 | Yes (13321 ÷ 11 = 1211) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13321 a prime number?
No. 13321 = 7 × 11 × 173, so it is divisible by 7.
What are the factors of 13321?
1, 7, 11, 77, 173, 1211, 1903, 13321.
What is 13321 in binary?
11010000001001 (hexadecimal 3409, octal 32011).
What is the square root of 13321?
About 115.4166.
Is 13321 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13321?
It is a composite number with 8 divisors.