The number 13735
13735 is a composite number with 8 divisors. Its prime factorisation is 5 × 41 × 67. Divisors (8): 1, 5, 41, 67, 205, 335, 2747, 13735.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13735 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13735 is composite. Its prime factorisation is
- 3
The divisors add up to 17136; without 13735 itself that is 3401, so 13735 is deficient (3401 is less than 13735). Euler's totient φ(13735) = 10560 numbers up to 13735 share no factor with it.
- 4
The digits of 13735 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13735 = 5 \times 41 \times 67 \]
13735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17136 |
| Euler totient φ(n) | 10560 |
| Square | 188650225 |
| Cube | 2591110840375 |
| Square root | 117.196416 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3735 × |
13735 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-five |
| Binary (base 2) | 11010110100111 |
| Octal (base 8) | 32647 |
| Hexadecimal (base 16) | 35A7 |
| Base 3 | 200211201 |
| As time | 13735 seconds = 3 h 48 min 55 s |
Is 13735 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 | Yes (13735 ÷ 5 = 2747) | 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 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 1) | 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 | No (remainder 7) | 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 13735 a prime number?
No. 13735 = 5 × 41 × 67, so it is divisible by 5.
What are the factors of 13735?
1, 5, 41, 67, 205, 335, 2747, 13735.
What is 13735 in binary?
11010110100111 (hexadecimal 35A7, octal 32647).
What is the square root of 13735?
About 117.1964.
Is 13735 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13735?
It is a composite number with 8 divisors.