The number 73520
73520 is a composite number with 20 divisors. Its prime factorisation is × 5 × 919. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 919, 1838, 3676, 4595, 7352, 9190 … 73520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73520 is composite. Its prime factorisation is
- 3
The divisors add up to 171120; without 73520 itself that is 97600, so 73520 is abundant (97600 is more than 73520). Euler's totient φ(73520) = 29376 numbers up to 73520 share no factor with it.
- 4
The digits of 73520 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73520 = 2^{4} \times 5 \times 919 \]73520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 171120 |
| Euler totient φ(n) | 29376 |
| Square | 5405190400 |
| Cube | 397389598208000 |
| Square root | 271.145717 (= 4√4595) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.352 × |
73520 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand five hundred and twenty |
| Binary (base 2) | 10001111100110000 |
| Octal (base 8) | 217460 |
| Hexadecimal (base 16) | 11F30 |
| Base 3 | 10201211222 |
| As time | 73520 seconds = 20 h 25 min 20 s |
Is 73520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73520 ÷ 2 = 36760) | 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 (73520 ÷ 4 = 18380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73520 ÷ 5 = 14704) | 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 | Yes (73520 ÷ 8 = 9190) | 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 (73520 ÷ 10 = 7352) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 73520 a prime number?
No. 73520 = × 5 × 919, so it is divisible by 2.
What are the factors of 73520?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 919, 1838, 3676, 4595, 7352, 9190, 14704, 18380, 36760, 73520.
What is 73520 in binary?
10001111100110000 (hexadecimal 11F30, octal 217460).
What is the square root of 73520?
About 271.1457, exactly 4√4595.
Is 73520 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73520?
It is a composite number with 20 divisors.