The number 73004
73004 is a composite number with 6 divisors. Its prime factorisation is × 18251. Divisors (6): 1, 2, 4, 18251, 36502, 73004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73004 is composite. Its prime factorisation is
- 3
The divisors add up to 127764; without 73004 itself that is 54760, so 73004 is deficient (54760 is less than 73004). Euler's totient φ(73004) = 36500 numbers up to 73004 share no factor with it.
- 4
The digits of 73004 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73004 = 2^{2} \times 18251 \]73004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 127764 |
| Euler totient φ(n) | 36500 |
| Square | 5329584016 |
| Cube | 389080951504064 |
| Square root | 270.192524 (= 2√18251) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3004 × |
73004 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and four |
| Binary (base 2) | 10001110100101100 |
| Octal (base 8) | 216454 |
| Hexadecimal (base 16) | 11D2C |
| Base 3 | 10201010212 |
| As time | 73004 seconds = 20 h 16 min 44 s |
Is 73004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73004 ÷ 2 = 36502) | 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 (73004 ÷ 4 = 18251) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 8) | 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 73004 a prime number?
No. 73004 = × 18251, so it is divisible by 2.
What are the factors of 73004?
1, 2, 4, 18251, 36502, 73004.
What is 73004 in binary?
10001110100101100 (hexadecimal 11D2C, octal 216454).
What is the square root of 73004?
About 270.1925, exactly 2√18251.
Is 73004 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73004?
It is a composite number with 6 divisors.