The number 21232
21232 is a composite number with 10 divisors. Its prime factorisation is × 1327. Divisors (10): 1, 2, 4, 8, 16, 1327, 2654, 5308, 10616, 21232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21232 is composite. Its prime factorisation is
- 3
The divisors add up to 41168; without 21232 itself that is 19936, so 21232 is deficient (19936 is less than 21232). Euler's totient φ(21232) = 10608 numbers up to 21232 share no factor with it.
- 4
The digits of 21232 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21232 = 2^{4} \times 1327 \]21232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 41168 |
| Euler totient φ(n) | 10608 |
| Square | 450797824 |
| Cube | 9571339399168 |
| Square root | 145.712045 (= 4√1327) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1232 × |
21232 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand two hundred and thirty-two |
| Binary (base 2) | 101001011110000 |
| Octal (base 8) | 51360 |
| Hexadecimal (base 16) | 52F0 |
| Base 3 | 1002010101 |
| As time | 21232 seconds = 5 h 53 min 52 s |
Is 21232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21232 ÷ 2 = 10616) | 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 | Yes (21232 ÷ 4 = 5308) | 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 | No (remainder 4) | 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 | Yes (21232 ÷ 8 = 2654) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21232 a prime number?
No. 21232 = × 1327, so it is divisible by 2.
What are the factors of 21232?
1, 2, 4, 8, 16, 1327, 2654, 5308, 10616, 21232.
What is 21232 in binary?
101001011110000 (hexadecimal 52F0, octal 51360).
What is the square root of 21232?
About 145.7120, exactly 4√1327.
Is 21232 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 21232?
It is a composite number with 10 divisors.