The number 20827
20827 is a composite number with 4 divisors. Its prime factorisation is 59 × 353. Divisors (4): 1, 59, 353, 20827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20827: a semiprime: 59 × 353, the product of two primes.
- 2
20827 is composite. Its prime factorisation is
- 3
The divisors add up to 21240; without 20827 itself that is 413, so 20827 is deficient (413 is less than 20827). Euler's totient φ(20827) = 20416 numbers up to 20827 share no factor with it.
- 4
The digits of 20827 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20827 = 59 \times 353 \]
20827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 21240 |
| Euler totient φ(n) | 20416 |
| Square | 433763929 |
| Cube | 9034001349283 |
| Square root | 144.315626 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.0827 × |
20827 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand eight hundred and twenty-seven |
| Binary (base 2) | 101000101011011 |
| Octal (base 8) | 50533 |
| Hexadecimal (base 16) | 515B |
| Base 3 | 1001120101 |
| As time | 20827 seconds = 5 h 47 min 7 s |
Is 20827 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 3) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20827 a prime number?
No. 20827 = 59 × 353, so it is divisible by 59.
What are the factors of 20827?
1, 59, 353, 20827.
What is 20827 in binary?
101000101011011 (hexadecimal 515B, octal 50533).
What is the square root of 20827?
About 144.3156.
Is 20827 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 20827?
20827 is a semiprime: 59 × 353, the product of two primes.