The number 13378
13378 is a composite number with 4 divisors. Its prime factorisation is 2 × 6689. Divisors (4): 1, 2, 6689, 13378.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13378: a semiprime: 2 × 6689, the product of two primes.
- 2
13378 is composite. Its prime factorisation is
- 3
The divisors add up to 20070; without 13378 itself that is 6692, so 13378 is deficient (6692 is less than 13378). Euler's totient φ(13378) = 6688 numbers up to 13378 share no factor with it.
- 4
The digits of 13378 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13378 = 2 \times 6689 \]
13378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20070 |
| Euler totient φ(n) | 6688 |
| Square | 178970884 |
| Cube | 2394272486152 |
| Square root | 115.663304 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3378 × |
13378 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and seventy-eight |
| Binary (base 2) | 11010001000010 |
| Octal (base 8) | 32102 |
| Hexadecimal (base 16) | 3442 |
| Base 3 | 200100111 |
| As time | 13378 seconds = 3 h 42 min 58 s |
Is 13378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13378 ÷ 2 = 6689) | 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 1) | 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 4) | 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 2) | 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 13378 a prime number?
No. 13378 = 2 × 6689, so it is divisible by 2.
What are the factors of 13378?
1, 2, 6689, 13378.
What is 13378 in binary?
11010001000010 (hexadecimal 3442, octal 32102).
What is the square root of 13378?
About 115.6633.
Is 13378 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13378?
13378 is a semiprime: 2 × 6689, the product of two primes.