The number 13837
13837 is a composite number with 4 divisors. Its prime factorisation is 101 × 137. Divisors (4): 1, 101, 137, 13837.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13837: a semiprime: 101 × 137, the product of two primes.
- 2
13837 is composite. Its prime factorisation is
- 3
The divisors add up to 14076; without 13837 itself that is 239, so 13837 is deficient (239 is less than 13837). Euler's totient φ(13837) = 13600 numbers up to 13837 share no factor with it.
- 4
The digits of 13837 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13837 = 101 \times 137 \]
13837 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14076 |
| Euler totient φ(n) | 13600 |
| Square | 191462569 |
| Cube | 2649267567253 |
| Square root | 117.630778 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3837 × |
13837 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and thirty-seven |
| Binary (base 2) | 11011000001101 |
| Octal (base 8) | 33015 |
| Hexadecimal (base 16) | 360D |
| Base 3 | 200222111 |
| As time | 13837 seconds = 3 h 50 min 37 s |
Is 13837 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 2) | 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 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 13837 a prime number?
No. 13837 = 101 × 137, so it is divisible by 101.
What are the factors of 13837?
1, 101, 137, 13837.
What is 13837 in binary?
11011000001101 (hexadecimal 360D, octal 33015).
What is the square root of 13837?
About 117.6308.
Is 13837 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13837?
13837 is a semiprime: 101 × 137, the product of two primes.