The number 73104
73104 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1523. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1523, 3046, 4569, 6092, 9138, 12184 … 73104.
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How to work it out
- 1
73104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73104 is composite. Its prime factorisation is
- 3
The divisors add up to 188976; without 73104 itself that is 115872, so 73104 is abundant (115872 is more than 73104). Euler's totient φ(73104) = 24352 numbers up to 73104 share no factor with it.
- 4
The digits of 73104 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73104 = 2^{4} \times 3 \times 1523 \]73104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 188976 |
| Euler totient φ(n) | 24352 |
| Square | 5344194816 |
| Cube | 390682017828864 |
| Square root | 270.377514 (= 4√4569) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3104 × |
73104 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and four |
| Binary (base 2) | 10001110110010000 |
| Octal (base 8) | 216620 |
| Hexadecimal (base 16) | 11D90 |
| Base 3 | 10201021120 |
| As time | 73104 seconds = 20 h 18 min 24 s |
Is 73104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73104 ÷ 2 = 36552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73104 ÷ 3 = 24368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73104 ÷ 4 = 18276) | 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 | Yes (73104 ÷ 6 = 12184) | 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 | Yes (73104 ÷ 8 = 9138) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (73104 ÷ 12 = 6092) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73104 a prime number?
No. 73104 = × 3 × 1523, so it is divisible by 2.
What are the factors of 73104?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1523, 3046, 4569, 6092, 9138, 12184, 18276, 24368, 36552, 73104.
What is 73104 in binary?
10001110110010000 (hexadecimal 11D90, octal 216620).
What is the square root of 73104?
About 270.3775, exactly 4√4569.
Is 73104 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 73104?
It is a composite number with 20 divisors.