The number 78008
78008 is a composite number with 24 divisors. Its prime factorisation is × × 199. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 199, 392, 398, 796, 1393 … 78008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
78008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78008 is composite. Its prime factorisation is
- 3
The divisors add up to 171000; without 78008 itself that is 92992, so 78008 is abundant (92992 is more than 78008). Euler's totient φ(78008) = 33264 numbers up to 78008 share no factor with it.
- 4
The digits of 78008 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78008 = 2^{3} \times 7^{2} \times 199 \]78008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 171000 |
| Euler totient φ(n) | 33264 |
| Square | 6085248064 |
| Cube | 474698030976512 |
| Square root | 279.299123 (= 14√398) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.8008 × |
78008 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and eight |
| Binary (base 2) | 10011000010111000 |
| Octal (base 8) | 230270 |
| Hexadecimal (base 16) | 130B8 |
| Base 3 | 10222000012 |
| As time | 78008 seconds = 21 h 40 min 8 s |
Is 78008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78008 ÷ 2 = 39004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (78008 ÷ 4 = 19502) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (78008 ÷ 7 = 11144) | 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 | Yes (78008 ÷ 8 = 9751) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78008 a prime number?
No. 78008 = × × 199, so it is divisible by 2.
What are the factors of 78008?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 199, 392, 398, 796, 1393, 1592, 2786, 5572, 9751, 11144, 19502, 39004, 78008.
What is 78008 in binary?
10011000010111000 (hexadecimal 130B8, octal 230270).
What is the square root of 78008?
About 279.2991, exactly 14√398.
Is 78008 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 78008?
It is a composite number with 24 divisors.