The number 13358
13358 is a composite number with 4 divisors. Its prime factorisation is 2 × 6679. Divisors (4): 1, 2, 6679, 13358.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13358: a semiprime: 2 × 6679, the product of two primes.
- 2
13358 is composite. Its prime factorisation is
- 3
The divisors add up to 20040; without 13358 itself that is 6682, so 13358 is deficient (6682 is less than 13358). Euler's totient φ(13358) = 6678 numbers up to 13358 share no factor with it.
- 4
The digits of 13358 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13358 = 2 \times 6679 \]
13358 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20040 |
| Euler totient φ(n) | 6678 |
| Square | 178436164 |
| Cube | 2383550278712 |
| Square root | 115.576814 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3358 × |
13358 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-eight |
| Binary (base 2) | 11010000101110 |
| Octal (base 8) | 32056 |
| Hexadecimal (base 16) | 342E |
| Base 3 | 200022202 |
| As time | 13358 seconds = 3 h 42 min 38 s |
Is 13358 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13358 ÷ 2 = 6679) | 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 2) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 13358 a prime number?
No. 13358 = 2 × 6679, so it is divisible by 2.
What are the factors of 13358?
1, 2, 6679, 13358.
What is 13358 in binary?
11010000101110 (hexadecimal 342E, octal 32056).
What is the square root of 13358?
About 115.5768.
Is 13358 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13358?
13358 is a semiprime: 2 × 6679, the product of two primes.