The number 13430
13430 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 79. Divisors (16): 1, 2, 5, 10, 17, 34, 79, 85, 158, 170, 395, 790, 1343, 2686, 6715, 13430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13430 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13430 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 13430 itself that is 12490, so 13430 is deficient (12490 is less than 13430). Euler's totient φ(13430) = 4992 numbers up to 13430 share no factor with it.
- 4
The digits of 13430 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13430 = 2 \times 5 \times 17 \times 79 \]
13430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 4992 |
| Square | 180364900 |
| Cube | 2422300607000 |
| Square root | 115.887877 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.343 × |
13430 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirty |
| Binary (base 2) | 11010001110110 |
| Octal (base 8) | 32166 |
| Hexadecimal (base 16) | 3476 |
| Base 3 | 200102102 |
| As time | 13430 seconds = 3 h 43 min 50 s |
Is 13430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13430 ÷ 2 = 6715) | 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 (13430 ÷ 5 = 2686) | 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 4) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13430 ÷ 10 = 1343) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 13430 a prime number?
No. 13430 = 2 × 5 × 17 × 79, so it is divisible by 2.
What are the factors of 13430?
1, 2, 5, 10, 17, 34, 79, 85, 158, 170, 395, 790, 1343, 2686, 6715, 13430.
What is 13430 in binary?
11010001110110 (hexadecimal 3476, octal 32166).
What is the square root of 13430?
About 115.8879.
Is 13430 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13430?
It is a composite number with 16 divisors.