The number 20832
20832 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 31. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 32, 42 … 20832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20832 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 20832 itself that is 43680, so 20832 is abundant (43680 is more than 20832). Euler's totient φ(20832) = 5760 numbers up to 20832 share no factor with it.
- 4
The digits of 20832 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 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20832 = 2^{5} \times 3 \times 7 \times 31 \]20832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 5760 |
| Square | 433972224 |
| Cube | 9040509370368 |
| Square root | 144.332948 (= 4√1302) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 105 |
| Scientific notation | 2.0832 × |
20832 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand eight hundred and thirty-two |
| Binary (base 2) | 101000101100000 |
| Octal (base 8) | 50540 |
| Hexadecimal (base 16) | 5160 |
| Base 3 | 1001120120 |
| As time | 20832 seconds = 5 h 47 min 12 s |
Is 20832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20832 ÷ 2 = 10416) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20832 ÷ 3 = 6944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20832 ÷ 4 = 5208) | 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 (20832 ÷ 6 = 3472) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (20832 ÷ 7 = 2976) | 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 (20832 ÷ 8 = 2604) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20832 ÷ 12 = 1736) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20832 a prime number?
No. 20832 = × 3 × 7 × 31, so it is divisible by 2.
What are the factors of 20832?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 32, 42, 48, 56, 62, 84, 93, 96, 112, 124, 168, 186, 217, 224, 248, 336, 372, 434, 496, 651, 672, 744, 868, 992, 1302, 1488, 1736, 2604, 2976, 3472, 5208, 6944, 10416, 20832.
What is 20832 in binary?
101000101100000 (hexadecimal 5160, octal 50540).
What is the square root of 20832?
About 144.3329, exactly 4√1302.
Is 20832 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 20832?
It is a composite number with 48 divisors.