The number 13876
13876 is a composite number with 6 divisors. Its prime factorisation is × 3469. Divisors (6): 1, 2, 4, 3469, 6938, 13876.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13876 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13876 is composite. Its prime factorisation is
- 3
The divisors add up to 24290; without 13876 itself that is 10414, so 13876 is deficient (10414 is less than 13876). Euler's totient φ(13876) = 6936 numbers up to 13876 share no factor with it.
- 4
The digits of 13876 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13876 = 2^{2} \times 3469 \]13876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24290 |
| Euler totient φ(n) | 6936 |
| Square | 192543376 |
| Cube | 2671731885376 |
| Square root | 117.796435 (= 2√3469) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3876 × |
13876 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and seventy-six |
| Binary (base 2) | 11011000110100 |
| Octal (base 8) | 33064 |
| Hexadecimal (base 16) | 3634 |
| Base 3 | 201000221 |
| As time | 13876 seconds = 3 h 51 min 16 s |
Is 13876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13876 ÷ 2 = 6938) | 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 | Yes (13876 ÷ 4 = 3469) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13876 a prime number?
No. 13876 = × 3469, so it is divisible by 2.
What are the factors of 13876?
1, 2, 4, 3469, 6938, 13876.
What is 13876 in binary?
11011000110100 (hexadecimal 3634, octal 33064).
What is the square root of 13876?
About 117.7964, exactly 2√3469.
Is 13876 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13876?
It is a composite number with 6 divisors.