The number 73315
73315 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 31 × 43. Divisors (16): 1, 5, 11, 31, 43, 55, 155, 215, 341, 473, 1333, 1705, 2365, 6665, 14663, 73315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73315 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73315 is composite. Its prime factorisation is
- 3
The divisors add up to 101376; without 73315 itself that is 28061, so 73315 is deficient (28061 is less than 73315). Euler's totient φ(73315) = 50400 numbers up to 73315 share no factor with it.
- 4
The digits of 73315 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73315 = 5 \times 11 \times 31 \times 43 \]
73315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101376 |
| Euler totient φ(n) | 50400 |
| Square | 5375089225 |
| Cube | 394074666530875 |
| Square root | 270.767428 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3315 × |
73315 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and fifteen |
| Binary (base 2) | 10001111001100011 |
| Octal (base 8) | 217143 |
| Hexadecimal (base 16) | 11E63 |
| Base 3 | 10201120101 |
| As time | 73315 seconds = 20 h 21 min 55 s |
Is 73315 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73315 ÷ 5 = 14663) | 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 4) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73315 ÷ 11 = 6665) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73315 a prime number?
No. 73315 = 5 × 11 × 31 × 43, so it is divisible by 5.
What are the factors of 73315?
1, 5, 11, 31, 43, 55, 155, 215, 341, 473, 1333, 1705, 2365, 6665, 14663, 73315.
What is 73315 in binary?
10001111001100011 (hexadecimal 11E63, octal 217143).
What is the square root of 73315?
About 270.7674.
Is 73315 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73315?
It is a composite number with 16 divisors.