The number 13810
13810 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1381. Divisors (8): 1, 2, 5, 10, 1381, 2762, 6905, 13810.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13810 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13810 is composite. Its prime factorisation is
- 3
The divisors add up to 24876; without 13810 itself that is 11066, so 13810 is deficient (11066 is less than 13810). Euler's totient φ(13810) = 5520 numbers up to 13810 share no factor with it.
- 4
The digits of 13810 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13810 = 2 \times 5 \times 1381 \]
13810 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24876 |
| Euler totient φ(n) | 5520 |
| Square | 190716100 |
| Cube | 2633789341000 |
| Square root | 117.515956 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.381 × |
13810 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and ten |
| Binary (base 2) | 11010111110010 |
| Octal (base 8) | 32762 |
| Hexadecimal (base 16) | 35F2 |
| Base 3 | 200221111 |
| As time | 13810 seconds = 3 h 50 min 10 s |
Is 13810 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13810 ÷ 2 = 6905) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13810 ÷ 5 = 2762) | 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 6) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13810 ÷ 10 = 1381) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13810 a prime number?
No. 13810 = 2 × 5 × 1381, so it is divisible by 2.
What are the factors of 13810?
1, 2, 5, 10, 1381, 2762, 6905, 13810.
What is 13810 in binary?
11010111110010 (hexadecimal 35F2, octal 32762).
What is the square root of 13810?
About 117.5160.
Is 13810 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13810?
It is a composite number with 8 divisors.