The number 13138
13138 is a composite number with 4 divisors. Its prime factorisation is 2 × 6569. Divisors (4): 1, 2, 6569, 13138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13138: a semiprime: 2 × 6569, the product of two primes.
- 2
13138 is composite. Its prime factorisation is
- 3
The divisors add up to 19710; without 13138 itself that is 6572, so 13138 is deficient (6572 is less than 13138). Euler's totient φ(13138) = 6568 numbers up to 13138 share no factor with it.
- 4
The digits of 13138 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13138 = 2 \times 6569 \]
13138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 19710 |
| Euler totient φ(n) | 6568 |
| Square | 172607044 |
| Cube | 2267711344072 |
| Square root | 114.621115 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 213 |
| Scientific notation | 1.3138 × |
13138 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirty-eight |
| Binary (base 2) | 11001101010010 |
| Octal (base 8) | 31522 |
| Hexadecimal (base 16) | 3352 |
| Base 3 | 200000121 |
| As time | 13138 seconds = 3 h 38 min 58 s |
Is 13138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13138 ÷ 2 = 6569) | 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 | No (remainder 3) | 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 7) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13138 a prime number?
No. 13138 = 2 × 6569, so it is divisible by 2.
What are the factors of 13138?
1, 2, 6569, 13138.
What is 13138 in binary?
11001101010010 (hexadecimal 3352, octal 31522).
What is the square root of 13138?
About 114.6211.
Is 13138 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13138?
13138 is a semiprime: 2 × 6569, the product of two primes.