The number 13418
13418 is a composite number with 4 divisors. Its prime factorisation is 2 × 6709. Divisors (4): 1, 2, 6709, 13418.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13418: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6709, the product of two primes.
- 2
13418 is composite. Its prime factorisation is
- 3
The divisors add up to 20130; without 13418 itself that is 6712, so 13418 is deficient (6712 is less than 13418). Euler's totient φ(13418) = 6708 numbers up to 13418 share no factor with it.
- 4
The digits of 13418 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13418 = 2 \times 6709 \]
13418 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20130 |
| Euler totient φ(n) | 6708 |
| Square | 180042724 |
| Cube | 2415813270632 |
| Square root | 115.836091 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3418 × |
13418 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and eighteen |
| Binary (base 2) | 11010001101010 |
| Octal (base 8) | 32152 |
| Hexadecimal (base 16) | 346A |
| Base 3 | 200101222 |
| As time | 13418 seconds = 3 h 43 min 38 s |
Is 13418 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13418 ÷ 2 = 6709) | 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 | No (remainder 3) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 13418 a prime number?
No. 13418 = 2 × 6709, so it is divisible by 2.
What are the factors of 13418?
1, 2, 6709, 13418.
What is 13418 in binary?
11010001101010 (hexadecimal 346A, octal 32152).
What is the square root of 13418?
About 115.8361.
Is 13418 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13418?
13418 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6709, the product of two primes.