The number 78013
78013 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 353. Divisors (8): 1, 13, 17, 221, 353, 4589, 6001, 78013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
78013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78013 is composite. Its prime factorisation is
- 3
The divisors add up to 89208; without 78013 itself that is 11195, so 78013 is deficient (11195 is less than 78013). Euler's totient φ(78013) = 67584 numbers up to 78013 share no factor with it.
- 4
The digits of 78013 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78013 = 13 \times 17 \times 353 \]
78013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 89208 |
| Euler totient φ(n) | 67584 |
| Square | 6086028169 |
| Cube | 474789315548197 |
| Square root | 279.308074 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.8013 × |
78013 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and thirteen |
| Binary (base 2) | 10011000010111101 |
| Octal (base 8) | 230275 |
| Hexadecimal (base 16) | 130BD |
| Base 3 | 10222000101 |
| As time | 78013 seconds = 21 h 40 min 13 s |
Is 78013 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78013 a prime number?
No. 78013 = 13 × 17 × 353, so it is divisible by 13.
What are the factors of 78013?
1, 13, 17, 221, 353, 4589, 6001, 78013.
What is 78013 in binary?
10011000010111101 (hexadecimal 130BD, octal 230275).
What is the square root of 78013?
About 279.3081.
Is 78013 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 78013?
It is a composite number with 8 divisors.