The number 13078
13078 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 503. Divisors (8): 1, 2, 13, 26, 503, 1006, 6539, 13078.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13078 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13078 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 13078 itself that is 8090, so 13078 is deficient (8090 is less than 13078). Euler's totient φ(13078) = 6024 numbers up to 13078 share no factor with it.
- 4
The digits of 13078 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13078 = 2 \times 13 \times 503 \]
13078 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 6024 |
| Square | 171034084 |
| Cube | 2236783750552 |
| Square root | 114.359084 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3078 × |
13078 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-eight |
| Binary (base 2) | 11001100010110 |
| Octal (base 8) | 31426 |
| Hexadecimal (base 16) | 3316 |
| Base 3 | 122221101 |
| As time | 13078 seconds = 3 h 37 min 58 s |
Is 13078 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13078 ÷ 2 = 6539) | 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 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 1) | 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 10) | 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 13078 a prime number?
No. 13078 = 2 × 13 × 503, so it is divisible by 2.
What are the factors of 13078?
1, 2, 13, 26, 503, 1006, 6539, 13078.
What is 13078 in binary?
11001100010110 (hexadecimal 3316, octal 31426).
What is the square root of 13078?
About 114.3591.
Is 13078 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13078?
It is a composite number with 8 divisors.