The number 13403
13403 is a composite number with 4 divisors. Its prime factorisation is 13 × 1031. Divisors (4): 1, 13, 1031, 13403.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13403: a semiprime: 13 × 1031, the product of two primes.
- 2
13403 is composite. Its prime factorisation is
- 3
The divisors add up to 14448; without 13403 itself that is 1045, so 13403 is deficient (1045 is less than 13403). Euler's totient φ(13403) = 12360 numbers up to 13403 share no factor with it.
- 4
The digits of 13403 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13403 = 13 \times 1031 \]
13403 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14448 |
| Euler totient φ(n) | 12360 |
| Square | 179640409 |
| Cube | 2407720401827 |
| Square root | 115.771326 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3403 × |
13403 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and three |
| Binary (base 2) | 11010001011011 |
| Octal (base 8) | 32133 |
| Hexadecimal (base 16) | 345B |
| Base 3 | 200101102 |
| As time | 13403 seconds = 3 h 43 min 23 s |
Is 13403 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 5) | 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 2) | 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 5) | 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 13403 a prime number?
No. 13403 = 13 × 1031, so it is divisible by 13.
What are the factors of 13403?
1, 13, 1031, 13403.
What is 13403 in binary?
11010001011011 (hexadecimal 345B, octal 32133).
What is the square root of 13403?
About 115.7713.
Is 13403 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13403?
13403 is a semiprime: 13 × 1031, the product of two primes.