The number 75004
75004 is a composite number with 12 divisors. Its prime factorisation is × 17 × 1103. Divisors (12): 1, 2, 4, 17, 34, 68, 1103, 2206, 4412, 18751, 37502, 75004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75004 is composite. Its prime factorisation is
- 3
The divisors add up to 139104; without 75004 itself that is 64100, so 75004 is deficient (64100 is less than 75004). Euler's totient φ(75004) = 35264 numbers up to 75004 share no factor with it.
- 4
The digits of 75004 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75004 = 2^{2} \times 17 \times 1103 \]75004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139104 |
| Euler totient φ(n) | 35264 |
| Square | 5625600016 |
| Cube | 421942503600064 |
| Square root | 273.868582 (= 2√18751) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.5004 × |
75004 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and four |
| Binary (base 2) | 10010010011111100 |
| Octal (base 8) | 222374 |
| Hexadecimal (base 16) | 124FC |
| Base 3 | 10210212221 |
| As time | 75004 seconds = 20 h 50 min 4 s |
Is 75004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75004 ÷ 2 = 37502) | 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 | Yes (75004 ÷ 4 = 18751) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75004 a prime number?
No. 75004 = × 17 × 1103, so it is divisible by 2.
What are the factors of 75004?
1, 2, 4, 17, 34, 68, 1103, 2206, 4412, 18751, 37502, 75004.
What is 75004 in binary?
10010010011111100 (hexadecimal 124FC, octal 222374).
What is the square root of 75004?
About 273.8686, exactly 2√18751.
Is 75004 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 75004?
It is a composite number with 12 divisors.