The number 20735
20735 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 13 × 29. Divisors (16): 1, 5, 11, 13, 29, 55, 65, 143, 145, 319, 377, 715, 1595, 1885, 4147, 20735.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20735 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20735 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 20735 itself that is 9505, so 20735 is deficient (9505 is less than 20735). Euler's totient φ(20735) = 13440 numbers up to 20735 share no factor with it.
- 4
The digits of 20735 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20735 = 5 \times 11 \times 13 \times 29 \]
20735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 13440 |
| Square | 429940225 |
| Cube | 8914810565375 |
| Square root | 143.996528 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.0735 × |
20735 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and thirty-five |
| Binary (base 2) | 101000011111111 |
| Octal (base 8) | 50377 |
| Hexadecimal (base 16) | 50FF |
| Base 3 | 1001102222 |
| As time | 20735 seconds = 5 h 45 min 35 s |
Is 20735 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 2) | 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 | Yes (20735 ÷ 5 = 4147) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (20735 ÷ 11 = 1885) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20735 a prime number?
No. 20735 = 5 × 11 × 13 × 29, so it is divisible by 5.
What are the factors of 20735?
1, 5, 11, 13, 29, 55, 65, 143, 145, 319, 377, 715, 1595, 1885, 4147, 20735.
What is 20735 in binary?
101000011111111 (hexadecimal 50FF, octal 50377).
What is the square root of 20735?
About 143.9965.
Is 20735 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 20735?
It is a composite number with 16 divisors.