The number 73040
73040 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 83. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 83, 88 … 73040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73040 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 73040 itself that is 114448, so 73040 is abundant (114448 is more than 73040). Euler's totient φ(73040) = 26240 numbers up to 73040 share no factor with it.
- 4
The digits of 73040 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73040 = 2^{4} \times 5 \times 11 \times 83 \]73040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 26240 |
| Square | 5334841600 |
| Cube | 389656830464000 |
| Square root | 270.259135 (= 4√4565) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.304 × |
73040 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and forty |
| Binary (base 2) | 10001110101010000 |
| Octal (base 8) | 216520 |
| Hexadecimal (base 16) | 11D50 |
| Base 3 | 10201012012 |
| As time | 73040 seconds = 20 h 17 min 20 s |
Is 73040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73040 ÷ 2 = 36520) | 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 (73040 ÷ 4 = 18260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73040 ÷ 5 = 14608) | 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 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 | Yes (73040 ÷ 8 = 9130) | 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 | Yes (73040 ÷ 10 = 7304) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73040 ÷ 11 = 6640) | 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 73040 a prime number?
No. 73040 = × 5 × 11 × 83, so it is divisible by 2.
What are the factors of 73040?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 83, 88, 110, 166, 176, 220, 332, 415, 440, 664, 830, 880, 913, 1328, 1660, 1826, 3320, 3652, 4565, 6640, 7304, 9130, 14608, 18260, 36520, 73040.
What is 73040 in binary?
10001110101010000 (hexadecimal 11D50, octal 216520).
What is the square root of 73040?
About 270.2591, exactly 4√4565.
Is 73040 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73040?
It is a composite number with 40 divisors.