The number 13910
13910 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 107. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 107, 130, 214, 535, 1070, 1391, 2782, 6955, 13910.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13910 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13910 is composite. Its prime factorisation is
- 3
The divisors add up to 27216; without 13910 itself that is 13306, so 13910 is deficient (13306 is less than 13910). Euler's totient φ(13910) = 5088 numbers up to 13910 share no factor with it.
- 4
The digits of 13910 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13910 = 2 \times 5 \times 13 \times 107 \]
13910 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27216 |
| Euler totient φ(n) | 5088 |
| Square | 193488100 |
| Cube | 2691419471000 |
| Square root | 117.940663 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.391 × |
13910 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and ten |
| Binary (base 2) | 11011001010110 |
| Octal (base 8) | 33126 |
| Hexadecimal (base 16) | 3656 |
| Base 3 | 201002012 |
| As time | 13910 seconds = 3 h 51 min 50 s |
Is 13910 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13910 ÷ 2 = 6955) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13910 ÷ 5 = 2782) | 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 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 6) | 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 | Yes (13910 ÷ 10 = 1391) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13910 a prime number?
No. 13910 = 2 × 5 × 13 × 107, so it is divisible by 2.
What are the factors of 13910?
1, 2, 5, 10, 13, 26, 65, 107, 130, 214, 535, 1070, 1391, 2782, 6955, 13910.
What is 13910 in binary?
11011001010110 (hexadecimal 3656, octal 33126).
What is the square root of 13910?
About 117.9407.
Is 13910 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13910?
It is a composite number with 16 divisors.