The number 75009
75009 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 2273. Divisors (8): 1, 3, 11, 33, 2273, 6819, 25003, 75009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75009 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75009 is composite. Its prime factorisation is
- 3
The divisors add up to 109152; without 75009 itself that is 34143, so 75009 is deficient (34143 is less than 75009). Euler's totient φ(75009) = 45440 numbers up to 75009 share no factor with it.
- 4
The digits of 75009 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75009 = 3 \times 11 \times 2273 \]
75009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109152 |
| Euler totient φ(n) | 45440 |
| Square | 5626350081 |
| Cube | 422026893225729 |
| Square root | 273.877710 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 7.5009 × |
75009 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and nine |
| Binary (base 2) | 10010010100000001 |
| Octal (base 8) | 222401 |
| Hexadecimal (base 16) | 12501 |
| Base 3 | 10210220010 |
| As time | 75009 seconds = 20 h 50 min 9 s |
Is 75009 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 | Yes (75009 ÷ 3 = 25003) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (75009 ÷ 11 = 6819) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75009 a prime number?
No. 75009 = 3 × 11 × 2273, so it is divisible by 3.
What are the factors of 75009?
1, 3, 11, 33, 2273, 6819, 25003, 75009.
What is 75009 in binary?
10010010100000001 (hexadecimal 12501, octal 222401).
What is the square root of 75009?
About 273.8777.
Is 75009 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 75009?
It is a composite number with 8 divisors.