The number 13340
13340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 29. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 29, 46, 58, 92, 115, 116, 145, 230, 290 … 13340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13340 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 13340 itself that is 16900, so 13340 is abundant (16900 is more than 13340). Euler's totient φ(13340) = 4928 numbers up to 13340 share no factor with it.
- 4
The digits of 13340 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13340 = 2^{2} \times 5 \times 23 \times 29 \]13340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 4928 |
| Square | 177955600 |
| Cube | 2373927704000 |
| Square root | 115.498918 (= 2√3335) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.334 × |
13340 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty |
| Binary (base 2) | 11010000011100 |
| Octal (base 8) | 32034 |
| Hexadecimal (base 16) | 341C |
| Base 3 | 200022002 |
| As time | 13340 seconds = 3 h 42 min 20 s |
Is 13340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13340 ÷ 2 = 6670) | 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 (13340 ÷ 4 = 3335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13340 ÷ 5 = 2668) | 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 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13340 ÷ 10 = 1334) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 13340 a prime number?
No. 13340 = × 5 × 23 × 29, so it is divisible by 2.
What are the factors of 13340?
1, 2, 4, 5, 10, 20, 23, 29, 46, 58, 92, 115, 116, 145, 230, 290, 460, 580, 667, 1334, 2668, 3335, 6670, 13340.
What is 13340 in binary?
11010000011100 (hexadecimal 341C, octal 32034).
What is the square root of 13340?
About 115.4989, exactly 2√3335.
Is 13340 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13340?
It is a composite number with 24 divisors.