The number 13201
13201 is a composite number with 4 divisors. Its prime factorisation is 43 × 307. Divisors (4): 1, 43, 307, 13201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13201: a semiprime: 43 × 307, the product of two primes.
- 2
13201 is composite. Its prime factorisation is
- 3
The divisors add up to 13552; without 13201 itself that is 351, so 13201 is deficient (351 is less than 13201). Euler's totient φ(13201) = 12852 numbers up to 13201 share no factor with it.
- 4
The digits of 13201 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13201 = 43 \times 307 \]
13201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13552 |
| Euler totient φ(n) | 12852 |
| Square | 174266401 |
| Cube | 2300490759601 |
| Square root | 114.895605 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3201 × |
13201 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and one |
| Binary (base 2) | 11001110010001 |
| Octal (base 8) | 31621 |
| Hexadecimal (base 16) | 3391 |
| Base 3 | 200002221 |
| As time | 13201 seconds = 3 h 40 min 1 s |
Is 13201 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13201 a prime number?
No. 13201 = 43 × 307, so it is divisible by 43.
What are the factors of 13201?
1, 43, 307, 13201.
What is 13201 in binary?
11001110010001 (hexadecimal 3391, octal 31621).
What is the square root of 13201?
About 114.8956.
Is 13201 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 13201?
13201 is a semiprime: 43 × 307, the product of two primes.