The number 13938
13938 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 101. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 101, 138, 202, 303, 606, 2323, 4646, 6969, 13938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13938 is composite. Its prime factorisation is
- 3
The divisors add up to 29376; without 13938 itself that is 15438, so 13938 is abundant (15438 is more than 13938). Euler's totient φ(13938) = 4400 numbers up to 13938 share no factor with it.
- 4
The digits of 13938 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13938 = 2 \times 3 \times 23 \times 101 \]
13938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29376 |
| Euler totient φ(n) | 4400 |
| Square | 194267844 |
| Cube | 2707705209672 |
| Square root | 118.059307 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3938 × |
13938 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and thirty-eight |
| Binary (base 2) | 11011001110010 |
| Octal (base 8) | 33162 |
| Hexadecimal (base 16) | 3672 |
| Base 3 | 201010020 |
| As time | 13938 seconds = 3 h 52 min 18 s |
Is 13938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13938 ÷ 2 = 6969) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13938 ÷ 3 = 4646) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (13938 ÷ 6 = 2323) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13938 a prime number?
No. 13938 = 2 × 3 × 23 × 101, so it is divisible by 2.
What are the factors of 13938?
1, 2, 3, 6, 23, 46, 69, 101, 138, 202, 303, 606, 2323, 4646, 6969, 13938.
What is 13938 in binary?
11011001110010 (hexadecimal 3672, octal 33162).
What is the square root of 13938?
About 118.0593.
Is 13938 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13938?
It is a composite number with 16 divisors.