The number 78006
78006 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 13001. Divisors (8): 1, 2, 3, 6, 13001, 26002, 39003, 78006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
78006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78006 is composite. Its prime factorisation is
- 3
The divisors add up to 156024; without 78006 itself that is 78018, so 78006 is abundant (78018 is more than 78006). Euler's totient φ(78006) = 26000 numbers up to 78006 share no factor with it.
- 4
The digits of 78006 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78006 = 2 \times 3 \times 13001 \]
78006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 156024 |
| Euler totient φ(n) | 26000 |
| Square | 6084936036 |
| Cube | 474661520424216 |
| Square root | 279.295542 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.8006 × |
78006 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and six |
| Binary (base 2) | 10011000010110110 |
| Octal (base 8) | 230266 |
| Hexadecimal (base 16) | 130B6 |
| Base 3 | 10222000010 |
| As time | 78006 seconds = 21 h 40 min 6 s |
Is 78006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78006 ÷ 2 = 39003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78006 ÷ 3 = 26002) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (78006 ÷ 6 = 13001) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78006 a prime number?
No. 78006 = 2 × 3 × 13001, so it is divisible by 2.
What are the factors of 78006?
1, 2, 3, 6, 13001, 26002, 39003, 78006.
What is 78006 in binary?
10011000010110110 (hexadecimal 130B6, octal 230266).
What is the square root of 78006?
About 279.2955.
Is 78006 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 78006?
It is a composite number with 8 divisors.