The number 13904
13904 is a composite number with 20 divisors. Its prime factorisation is × 11 × 79. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 79, 88, 158, 176, 316, 632, 869, 1264 … 13904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13904 is composite. Its prime factorisation is
- 3
The divisors add up to 29760; without 13904 itself that is 15856, so 13904 is abundant (15856 is more than 13904). Euler's totient φ(13904) = 6240 numbers up to 13904 share no factor with it.
- 4
The digits of 13904 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13904 = 2^{4} \times 11 \times 79 \]13904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 29760 |
| Euler totient φ(n) | 6240 |
| Square | 193321216 |
| Cube | 2687938187264 |
| Square root | 117.915224 (= 4√869) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3904 × |
13904 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and four |
| Binary (base 2) | 11011001010000 |
| Octal (base 8) | 33120 |
| Hexadecimal (base 16) | 3650 |
| Base 3 | 201001222 |
| As time | 13904 seconds = 3 h 51 min 44 s |
Is 13904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13904 ÷ 2 = 6952) | 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 | Yes (13904 ÷ 4 = 3476) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (13904 ÷ 8 = 1738) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13904 ÷ 11 = 1264) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13904 a prime number?
No. 13904 = × 11 × 79, so it is divisible by 2.
What are the factors of 13904?
1, 2, 4, 8, 11, 16, 22, 44, 79, 88, 158, 176, 316, 632, 869, 1264, 1738, 3476, 6952, 13904.
What is 13904 in binary?
11011001010000 (hexadecimal 3650, octal 33120).
What is the square root of 13904?
About 117.9152, exactly 4√869.
Is 13904 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13904?
It is a composite number with 20 divisors.