The number 73240
73240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1831. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1831, 3662, 7324, 9155, 14648, 18310, 36620, 73240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73240 is composite. Its prime factorisation is
- 3
The divisors add up to 164880; without 73240 itself that is 91640, so 73240 is abundant (91640 is more than 73240). Euler's totient φ(73240) = 29280 numbers up to 73240 share no factor with it.
- 4
The digits of 73240 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73240 = 2^{3} \times 5 \times 1831 \]73240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 164880 |
| Euler totient φ(n) | 29280 |
| Square | 5364097600 |
| Cube | 392866508224000 |
| Square root | 270.628897 (= 2√18310) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.324 × |
73240 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and forty |
| Binary (base 2) | 10001111000011000 |
| Octal (base 8) | 217030 |
| Hexadecimal (base 16) | 11E18 |
| Base 3 | 10201110121 |
| As time | 73240 seconds = 20 h 20 min 40 s |
Is 73240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73240 ÷ 2 = 36620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73240 ÷ 4 = 18310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73240 ÷ 5 = 14648) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (73240 ÷ 8 = 9155) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73240 ÷ 10 = 7324) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73240 a prime number?
No. 73240 = × 5 × 1831, so it is divisible by 2.
What are the factors of 73240?
1, 2, 4, 5, 8, 10, 20, 40, 1831, 3662, 7324, 9155, 14648, 18310, 36620, 73240.
What is 73240 in binary?
10001111000011000 (hexadecimal 11E18, octal 217030).
What is the square root of 73240?
About 270.6289, exactly 2√18310.
Is 73240 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73240?
It is a composite number with 16 divisors.