The number 13937
13937 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 181. Divisors (8): 1, 7, 11, 77, 181, 1267, 1991, 13937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13937 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13937 is composite. Its prime factorisation is
- 3
The divisors add up to 17472; without 13937 itself that is 3535, so 13937 is deficient (3535 is less than 13937). Euler's totient φ(13937) = 10800 numbers up to 13937 share no factor with it.
- 4
The digits of 13937 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13937 = 7 \times 11 \times 181 \]
13937 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17472 |
| Euler totient φ(n) | 10800 |
| Square | 194239969 |
| Cube | 2707122447953 |
| Square root | 118.055072 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3937 × |
13937 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and thirty-seven |
| Binary (base 2) | 11011001110001 |
| Octal (base 8) | 33161 |
| Hexadecimal (base 16) | 3671 |
| Base 3 | 201010012 |
| As time | 13937 seconds = 3 h 52 min 17 s |
Is 13937 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13937 ÷ 7 = 1991) | 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 5) | 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 | Yes (13937 ÷ 11 = 1267) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13937 a prime number?
No. 13937 = 7 × 11 × 181, so it is divisible by 7.
What are the factors of 13937?
1, 7, 11, 77, 181, 1267, 1991, 13937.
What is 13937 in binary?
11011001110001 (hexadecimal 3671, octal 33161).
What is the square root of 13937?
About 118.0551.
Is 13937 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13937?
It is a composite number with 8 divisors.