The number 13703
13703 is a composite number with 4 divisors. Its prime factorisation is 71 × 193. Divisors (4): 1, 71, 193, 13703.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13703: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 193, the product of two primes.
- 2
13703 is composite. Its prime factorisation is
- 3
The divisors add up to 13968; without 13703 itself that is 265, so 13703 is deficient (265 is less than 13703). Euler's totient φ(13703) = 13440 numbers up to 13703 share no factor with it.
- 4
The digits of 13703 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13703 = 71 \times 193 \]
13703 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13968 |
| Euler totient φ(n) | 13440 |
| Square | 187772209 |
| Cube | 2573042579927 |
| Square root | 117.059814 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3703 × |
13703 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and three |
| Binary (base 2) | 11010110000111 |
| Octal (base 8) | 32607 |
| Hexadecimal (base 16) | 3587 |
| Base 3 | 200210112 |
| As time | 13703 seconds = 3 h 48 min 23 s |
Is 13703 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 | No (remainder 3) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 13703 a prime number?
No. 13703 = 71 × 193, so it is divisible by 71.
What are the factors of 13703?
1, 71, 193, 13703.
What is 13703 in binary?
11010110000111 (hexadecimal 3587, octal 32607).
What is the square root of 13703?
About 117.0598.
Is 13703 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13703?
13703 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 193, the product of two primes.