The number 2321
2321 is a composite number with 4 divisors. Its prime factorisation is 11 × 211. Divisors (4): 1, 11, 211, 2321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2321: a semiprime: 11 × 211, the product of two primes.
- 2
2321 is composite. Its prime factorisation is
- 3
The divisors add up to 2544; without 2321 itself that is 223, so 2321 is deficient (223 is less than 2321). Euler's totient φ(2321) = 2100 numbers up to 2321 share no factor with it.
- 4
The digits of 2321 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2321 = 11 \times 211 \]
2321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2544 |
| Euler totient φ(n) | 2100 |
| Square | 5387041 |
| Cube | 12503322161 |
| Square root | 48.176758 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.321 × |
2321 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and twenty-one |
| Roman numerals | MMCCCXXI |
| Binary (base 2) | 100100010001 |
| Octal (base 8) | 4421 |
| Hexadecimal (base 16) | 911 |
| Base 3 | 10011222 |
| As time | 2321 seconds = 38 min 41 s |
Is 2321 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 4) | 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 8) | 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 (2321 ÷ 11 = 211) | 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 2321 a prime number?
No. 2321 = 11 × 211, so it is divisible by 11.
What are the factors of 2321?
1, 11, 211, 2321.
What is 2321 in binary?
100100010001 (hexadecimal 911, octal 4421).
What is the square root of 2321?
About 48.1768.
What is 2321 in Roman numerals?
MMCCCXXI.
Is 2321 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2321?
2321 is a semiprime: 11 × 211, the product of two primes.