The number 23221
23221 is a composite number with 4 divisors. Its prime factorisation is 11 × 2111. Divisors (4): 1, 11, 2111, 23221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23221: a semiprime: 11 × 2111, the product of two primes.
- 2
23221 is composite. Its prime factorisation is
- 3
The divisors add up to 25344; without 23221 itself that is 2123, so 23221 is deficient (2123 is less than 23221). Euler's totient φ(23221) = 21100 numbers up to 23221 share no factor with it.
- 4
The digits of 23221 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23221 = 11 \times 2111 \]
23221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 25344 |
| Euler totient φ(n) | 21100 |
| Square | 539214841 |
| Cube | 12521107822861 |
| Square root | 152.384382 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3221 × |
23221 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand two hundred and twenty-one |
| Binary (base 2) | 101101010110101 |
| Octal (base 8) | 55265 |
| Hexadecimal (base 16) | 5AB5 |
| Base 3 | 1011212001 |
| As time | 23221 seconds = 6 h 27 min 1 s |
Is 23221 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 | 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 5) | 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 (23221 ÷ 11 = 2111) | 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 23221 a prime number?
No. 23221 = 11 × 2111, so it is divisible by 11.
What are the factors of 23221?
1, 11, 2111, 23221.
What is 23221 in binary?
101101010110101 (hexadecimal 5AB5, octal 55265).
What is the square root of 23221?
About 152.3844.
Is 23221 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 23221?
23221 is a semiprime: 11 × 2111, the product of two primes.