The number 73950
73950 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 17 × 29. Divisors (48): 1, 2, 3, 5, 6, 10, 15, 17, 25, 29, 30, 34, 50, 51, 58, 75 … 73950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73950 is composite. Its prime factorisation is
- 3
The divisors add up to 200880; without 73950 itself that is 126930, so 73950 is abundant (126930 is more than 73950). Euler's totient φ(73950) = 17920 numbers up to 73950 share no factor with it.
- 4
The digits of 73950 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73950 = 2 \times 3 \times 5^{2} \times 17 \times 29 \]73950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 200880 |
| Euler totient φ(n) | 17920 |
| Square | 5468602500 |
| Cube | 404403154875000 |
| Square root | 271.937493 (= 5√2958) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.395 × |
73950 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and fifty |
| Binary (base 2) | 10010000011011110 |
| Octal (base 8) | 220336 |
| Hexadecimal (base 16) | 120DE |
| Base 3 | 10202102220 |
| As time | 73950 seconds = 20 h 32 min 30 s |
Is 73950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73950 ÷ 2 = 36975) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73950 ÷ 3 = 24650) | 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 (73950 ÷ 5 = 14790) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73950 ÷ 6 = 12325) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73950 ÷ 10 = 7395) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73950 a prime number?
No. 73950 = 2 × 3 × × 17 × 29, so it is divisible by 2.
What are the factors of 73950?
1, 2, 3, 5, 6, 10, 15, 17, 25, 29, 30, 34, 50, 51, 58, 75, 85, 87, 102, 145, 150, 170, 174, 255, 290, 425, 435, 493, 510, 725, 850, 870, 986, 1275, 1450, 1479, 2175, 2465, 2550, 2958, 4350, 4930, 7395, 12325, 14790, 24650, 36975, 73950.
What is 73950 in binary?
10010000011011110 (hexadecimal 120DE, octal 220336).
What is the square root of 73950?
About 271.9375, exactly 5√2958.
Is 73950 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73950?
It is a composite number with 48 divisors.