The number 13801
13801 is a composite number with 4 divisors. Its prime factorisation is 37 × 373. Divisors (4): 1, 37, 373, 13801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13801: a semiprime: 37 × 373, the product of two primes.
- 2
13801 is composite. Its prime factorisation is
- 3
The divisors add up to 14212; without 13801 itself that is 411, so 13801 is deficient (411 is less than 13801). Euler's totient φ(13801) = 13392 numbers up to 13801 share no factor with it.
- 4
The digits of 13801 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13801 = 37 \times 373 \]
13801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14212 |
| Euler totient φ(n) | 13392 |
| Square | 190467601 |
| Cube | 2628643361401 |
| Square root | 117.477657 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3801 × |
13801 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and one |
| Binary (base 2) | 11010111101001 |
| Octal (base 8) | 32751 |
| Hexadecimal (base 16) | 35E9 |
| Base 3 | 200221011 |
| As time | 13801 seconds = 3 h 50 min 1 s |
Is 13801 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 13801 a prime number?
No. 13801 = 37 × 373, so it is divisible by 37.
What are the factors of 13801?
1, 37, 373, 13801.
What is 13801 in binary?
11010111101001 (hexadecimal 35E9, octal 32751).
What is the square root of 13801?
About 117.4777.
Is 13801 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13801?
13801 is a semiprime: 37 × 373, the product of two primes.