The number 73940
73940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3697. Divisors (12): 1, 2, 4, 5, 10, 20, 3697, 7394, 14788, 18485, 36970, 73940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73940 is composite. Its prime factorisation is
- 3
The divisors add up to 155316; without 73940 itself that is 81376, so 73940 is abundant (81376 is more than 73940). Euler's totient φ(73940) = 29568 numbers up to 73940 share no factor with it.
- 4
The digits of 73940 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73940 = 2^{2} \times 5 \times 3697 \]73940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 155316 |
| Euler totient φ(n) | 29568 |
| Square | 5467123600 |
| Cube | 404239118984000 |
| Square root | 271.919106 (= 2√18485) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.394 × |
73940 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and forty |
| Binary (base 2) | 10010000011010100 |
| Octal (base 8) | 220324 |
| Hexadecimal (base 16) | 120D4 |
| Base 3 | 10202102112 |
| As time | 73940 seconds = 20 h 32 min 20 s |
Is 73940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73940 ÷ 2 = 36970) | 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 (73940 ÷ 4 = 18485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73940 ÷ 5 = 14788) | 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 6) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73940 ÷ 10 = 7394) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73940 a prime number?
No. 73940 = × 5 × 3697, so it is divisible by 2.
What are the factors of 73940?
1, 2, 4, 5, 10, 20, 3697, 7394, 14788, 18485, 36970, 73940.
What is 73940 in binary?
10010000011010100 (hexadecimal 120D4, octal 220324).
What is the square root of 73940?
About 271.9191, exactly 2√18485.
Is 73940 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73940?
It is a composite number with 12 divisors.