The number 73513
73513 is a composite number with 8 divisors. Its prime factorisation is 11 × 41 × 163. Divisors (8): 1, 11, 41, 163, 451, 1793, 6683, 73513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73513 is composite. Its prime factorisation is
- 3
The divisors add up to 82656; without 73513 itself that is 9143, so 73513 is deficient (9143 is less than 73513). Euler's totient φ(73513) = 64800 numbers up to 73513 share no factor with it.
- 4
The digits of 73513 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73513 = 11 \times 41 \times 163 \]
73513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82656 |
| Euler totient φ(n) | 64800 |
| Square | 5404161169 |
| Cube | 397276100016697 |
| Square root | 271.132809 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3513 × |
73513 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand five hundred and thirteen |
| Binary (base 2) | 10001111100101001 |
| Octal (base 8) | 217451 |
| Hexadecimal (base 16) | 11F29 |
| Base 3 | 10201211201 |
| As time | 73513 seconds = 20 h 25 min 13 s |
Is 73513 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73513 ÷ 11 = 6683) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73513 a prime number?
No. 73513 = 11 × 41 × 163, so it is divisible by 11.
What are the factors of 73513?
1, 11, 41, 163, 451, 1793, 6683, 73513.
What is 73513 in binary?
10001111100101001 (hexadecimal 11F29, octal 217451).
What is the square root of 73513?
About 271.1328.
Is 73513 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73513?
It is a composite number with 8 divisors.