The number 21732
21732 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1811. Divisors (12): 1, 2, 3, 4, 6, 12, 1811, 3622, 5433, 7244, 10866, 21732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21732 is composite. Its prime factorisation is
- 3
The divisors add up to 50736; without 21732 itself that is 29004, so 21732 is abundant (29004 is more than 21732). Euler's totient φ(21732) = 7240 numbers up to 21732 share no factor with it.
- 4
The digits of 21732 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21732 = 2^{2} \times 3 \times 1811 \]21732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50736 |
| Euler totient φ(n) | 7240 |
| Square | 472279824 |
| Cube | 10263585135168 |
| Square root | 147.417774 (= 2√5433) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.1732 × |
21732 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand seven hundred and thirty-two |
| Binary (base 2) | 101010011100100 |
| Octal (base 8) | 52344 |
| Hexadecimal (base 16) | 54E4 |
| Base 3 | 1002210220 |
| As time | 21732 seconds = 6 h 2 min 12 s |
Is 21732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21732 ÷ 2 = 10866) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (21732 ÷ 3 = 7244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (21732 ÷ 4 = 5433) | 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 | Yes (21732 ÷ 6 = 3622) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (21732 ÷ 12 = 1811) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21732 a prime number?
No. 21732 = × 3 × 1811, so it is divisible by 2.
What are the factors of 21732?
1, 2, 3, 4, 6, 12, 1811, 3622, 5433, 7244, 10866, 21732.
What is 21732 in binary?
101010011100100 (hexadecimal 54E4, octal 52344).
What is the square root of 21732?
About 147.4178, exactly 2√5433.
Is 21732 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 21732?
It is a composite number with 12 divisors.