The number 20730
20730 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 691. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 691, 1382, 2073, 3455, 4146, 6910, 10365, 20730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20730 is composite. Its prime factorisation is
- 3
The divisors add up to 49824; without 20730 itself that is 29094, so 20730 is abundant (29094 is more than 20730). Euler's totient φ(20730) = 5520 numbers up to 20730 share no factor with it.
- 4
The digits of 20730 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20730 = 2 \times 3 \times 5 \times 691 \]
20730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 49824 |
| Euler totient φ(n) | 5520 |
| Square | 429732900 |
| Cube | 8908363017000 |
| Square root | 143.979165 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.073 × |
20730 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and thirty |
| Binary (base 2) | 101000011111010 |
| Octal (base 8) | 50372 |
| Hexadecimal (base 16) | 50FA |
| Base 3 | 1001102210 |
| As time | 20730 seconds = 5 h 45 min 30 s |
Is 20730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20730 ÷ 2 = 10365) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20730 ÷ 3 = 6910) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20730 ÷ 5 = 4146) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20730 ÷ 6 = 3455) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20730 ÷ 10 = 2073) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20730 a prime number?
No. 20730 = 2 × 3 × 5 × 691, so it is divisible by 2.
What are the factors of 20730?
1, 2, 3, 5, 6, 10, 15, 30, 691, 1382, 2073, 3455, 4146, 6910, 10365, 20730.
What is 20730 in binary?
101000011111010 (hexadecimal 50FA, octal 50372).
What is the square root of 20730?
About 143.9792.
Is 20730 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20730?
It is a composite number with 16 divisors.