The number 73150
73150 is a composite number with 48 divisors. Its prime factorisation is 2 × × 7 × 11 × 19. Divisors (48): 1, 2, 5, 7, 10, 11, 14, 19, 22, 25, 35, 38, 50, 55, 70, 77 … 73150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73150 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73150 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 73150 itself that is 105410, so 73150 is abundant (105410 is more than 73150). Euler's totient φ(73150) = 21600 numbers up to 73150 share no factor with it.
- 4
The digits of 73150 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73150 = 2 \times 5^{2} \times 7 \times 11 \times 19 \]73150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 21600 |
| Square | 5350922500 |
| Cube | 391419980875000 |
| Square root | 270.462567 (= 5√2926) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.315 × |
73150 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and fifty |
| Binary (base 2) | 10001110110111110 |
| Octal (base 8) | 216676 |
| Hexadecimal (base 16) | 11DBE |
| Base 3 | 10201100021 |
| As time | 73150 seconds = 20 h 19 min 10 s |
Is 73150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73150 ÷ 2 = 36575) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73150 ÷ 5 = 14630) | 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 | Yes (73150 ÷ 7 = 10450) | 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 6) | 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 (73150 ÷ 10 = 7315) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73150 ÷ 11 = 6650) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73150 a prime number?
No. 73150 = 2 × × 7 × 11 × 19, so it is divisible by 2.
What are the factors of 73150?
1, 2, 5, 7, 10, 11, 14, 19, 22, 25, 35, 38, 50, 55, 70, 77, 95, 110, 133, 154, 175, 190, 209, 266, 275, 350, 385, 418, 475, 550, 665, 770, 950, 1045, 1330, 1463, 1925, 2090, 2926, 3325, 3850, 5225, 6650, 7315, 10450, 14630, 36575, 73150.
What is 73150 in binary?
10001110110111110 (hexadecimal 11DBE, octal 216676).
What is the square root of 73150?
About 270.4626, exactly 5√2926.
Is 73150 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73150?
It is a composite number with 48 divisors.