The number 21532
21532 is a composite number with 12 divisors. Its prime factorisation is × 7 × 769. Divisors (12): 1, 2, 4, 7, 14, 28, 769, 1538, 3076, 5383, 10766, 21532.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21532 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21532 is composite. Its prime factorisation is
- 3
The divisors add up to 43120; without 21532 itself that is 21588, so 21532 is abundant (21588 is more than 21532). Euler's totient φ(21532) = 9216 numbers up to 21532 share no factor with it.
- 4
The digits of 21532 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21532 = 2^{2} \times 7 \times 769 \]21532 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43120 |
| Euler totient φ(n) | 9216 |
| Square | 463627024 |
| Cube | 9982817080768 |
| Square root | 146.737862 (= 2√5383) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.1532 × |
21532 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand five hundred and thirty-two |
| Binary (base 2) | 101010000011100 |
| Octal (base 8) | 52034 |
| Hexadecimal (base 16) | 541C |
| Base 3 | 1002112111 |
| As time | 21532 seconds = 5 h 58 min 52 s |
Is 21532 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21532 ÷ 2 = 10766) | 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 (21532 ÷ 4 = 5383) | 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 | Yes (21532 ÷ 7 = 3076) | 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 4) | 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 5) | 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 21532 a prime number?
No. 21532 = × 7 × 769, so it is divisible by 2.
What are the factors of 21532?
1, 2, 4, 7, 14, 28, 769, 1538, 3076, 5383, 10766, 21532.
What is 21532 in binary?
101010000011100 (hexadecimal 541C, octal 52034).
What is the square root of 21532?
About 146.7379, exactly 2√5383.
Is 21532 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 21532?
It is a composite number with 12 divisors.