The number 72404
72404 is a composite number with 12 divisors. Its prime factorisation is × 23 × 787. Divisors (12): 1, 2, 4, 23, 46, 92, 787, 1574, 3148, 18101, 36202, 72404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72404 is composite. Its prime factorisation is
- 3
The divisors add up to 132384; without 72404 itself that is 59980, so 72404 is deficient (59980 is less than 72404). Euler's totient φ(72404) = 34584 numbers up to 72404 share no factor with it.
- 4
The digits of 72404 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72404 = 2^{2} \times 23 \times 787 \]72404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 132384 |
| Euler totient φ(n) | 34584 |
| Square | 5242339216 |
| Cube | 379566328595264 |
| Square root | 269.079914 (= 2√18101) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2404 × |
72404 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and four |
| Binary (base 2) | 10001101011010100 |
| Octal (base 8) | 215324 |
| Hexadecimal (base 16) | 11AD4 |
| Base 3 | 10200022122 |
| As time | 72404 seconds = 20 h 6 min 44 s |
Is 72404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72404 ÷ 2 = 36202) | 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 (72404 ÷ 4 = 18101) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 72404 a prime number?
No. 72404 = × 23 × 787, so it is divisible by 2.
What are the factors of 72404?
1, 2, 4, 23, 46, 92, 787, 1574, 3148, 18101, 36202, 72404.
What is 72404 in binary?
10001101011010100 (hexadecimal 11AD4, octal 215324).
What is the square root of 72404?
About 269.0799, exactly 2√18101.
Is 72404 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 72404?
It is a composite number with 12 divisors.