The number 73340
73340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19 × 193. Divisors (24): 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 193, 380, 386, 772, 965 … 73340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73340 is composite. Its prime factorisation is
- 3
The divisors add up to 162960; without 73340 itself that is 89620, so 73340 is abundant (89620 is more than 73340). Euler's totient φ(73340) = 27648 numbers up to 73340 share no factor with it.
- 4
The digits of 73340 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73340 = 2^{2} \times 5 \times 19 \times 193 \]73340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 162960 |
| Euler totient φ(n) | 27648 |
| Square | 5378755600 |
| Cube | 394477935704000 |
| Square root | 270.813589 (= 2√18335) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.334 × |
73340 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and forty |
| Binary (base 2) | 10001111001111100 |
| Octal (base 8) | 217174 |
| Hexadecimal (base 16) | 11E7C |
| Base 3 | 10201121022 |
| As time | 73340 seconds = 20 h 22 min 20 s |
Is 73340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73340 ÷ 2 = 36670) | 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 (73340 ÷ 4 = 18335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73340 ÷ 5 = 14668) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73340 ÷ 10 = 7334) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 73340 a prime number?
No. 73340 = × 5 × 19 × 193, so it is divisible by 2.
What are the factors of 73340?
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 193, 380, 386, 772, 965, 1930, 3667, 3860, 7334, 14668, 18335, 36670, 73340.
What is 73340 in binary?
10001111001111100 (hexadecimal 11E7C, octal 217174).
What is the square root of 73340?
About 270.8136, exactly 2√18335.
Is 73340 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73340?
It is a composite number with 24 divisors.