The number 78007
78007 is the 7663rd prime number. Its only divisors are 1 and 78007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 78007: the 7663rd prime number.
- 2
78007 is prime, so its only factors are 1 and 78007. It is the 7663rd prime; the next prime is 78017 and the one before is 77999.
- 3
The divisors add up to 78008; without 78007 itself that is 1, so 78007 is deficient (1 is less than 78007). Euler's totient φ(78007) = 78006 numbers up to 78007 share no factor with it.
- 4
The digits of 78007 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 200 steps to reach 1.
78007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 78008 |
| Euler totient φ(n) | 78006 |
| Square | 6085092049 |
| Cube | 474679775466343 |
| Square root | 279.297333 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.8007 × |
78007 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and seven |
| Binary (base 2) | 10011000010110111 |
| Octal (base 8) | 230267 |
| Hexadecimal (base 16) | 130B7 |
| Base 3 | 10222000011 |
| As time | 78007 seconds = 21 h 40 min 7 s |
Is 78007 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78007 a prime number?
Yes. 78007 is divisible only by 1 and itself.
What are the factors of 78007?
1, 78007.
What is 78007 in binary?
10011000010110111 (hexadecimal 130B7, octal 230267).
What is the square root of 78007?
About 279.2973.
Is 78007 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 78007?
78007 is the 7663rd prime number.