The number 72004
72004 is a composite number with 12 divisors. Its prime factorisation is × 47 × 383. Divisors (12): 1, 2, 4, 47, 94, 188, 383, 766, 1532, 18001, 36002, 72004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72004 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 72004 itself that is 57020, so 72004 is deficient (57020 is less than 72004). Euler's totient φ(72004) = 35144 numbers up to 72004 share no factor with it.
- 4
The digits of 72004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72004 = 2^{2} \times 47 \times 383 \]72004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 35144 |
| Square | 5184576016 |
| Cube | 373310211456064 |
| Square root | 268.335611 (= 2√18001) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2004 × |
72004 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and four |
| Binary (base 2) | 10001100101000100 |
| Octal (base 8) | 214504 |
| Hexadecimal (base 16) | 11944 |
| Base 3 | 10122202211 |
| As time | 72004 seconds = 20 h 0 min 4 s |
Is 72004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72004 ÷ 2 = 36002) | 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 (72004 ÷ 4 = 18001) | 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 2) | 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 4) | 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 9) | 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 72004 a prime number?
No. 72004 = × 47 × 383, so it is divisible by 2.
What are the factors of 72004?
1, 2, 4, 47, 94, 188, 383, 766, 1532, 18001, 36002, 72004.
What is 72004 in binary?
10001100101000100 (hexadecimal 11944, octal 214504).
What is the square root of 72004?
About 268.3356, exactly 2√18001.
Is 72004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 72004?
It is a composite number with 12 divisors.