The number 75008
75008 is a composite number with 18 divisors. Its prime factorisation is × 293. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 256, 293, 586, 1172, 2344, 4688, 9376, 18752 … 75008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75008 is composite. Its prime factorisation is
- 3
The divisors add up to 150234; without 75008 itself that is 75226, so 75008 is abundant (75226 is more than 75008). Euler's totient φ(75008) = 37376 numbers up to 75008 share no factor with it.
- 4
The digits of 75008 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75008 = 2^{8} \times 293 \]75008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 150234 |
| Euler totient φ(n) | 37376 |
| Square | 5626200064 |
| Cube | 422010014400512 |
| Square root | 273.875884 (= 16√293) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.5008 × |
75008 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and eight |
| Binary (base 2) | 10010010100000000 |
| Octal (base 8) | 222400 |
| Hexadecimal (base 16) | 12500 |
| Base 3 | 10210220002 |
| As time | 75008 seconds = 20 h 50 min 8 s |
Is 75008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75008 ÷ 2 = 37504) | 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 (75008 ÷ 4 = 18752) | 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 | No (remainder 3) | 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 (75008 ÷ 8 = 9376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | 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 75008 a prime number?
No. 75008 = × 293, so it is divisible by 2.
What are the factors of 75008?
1, 2, 4, 8, 16, 32, 64, 128, 256, 293, 586, 1172, 2344, 4688, 9376, 18752, 37504, 75008.
What is 75008 in binary?
10010010100000000 (hexadecimal 12500, octal 222400).
What is the square root of 75008?
About 273.8759, exactly 16√293.
Is 75008 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 75008?
It is a composite number with 18 divisors.