The number 75500
75500 is a composite number with 24 divisors. Its prime factorisation is × × 151. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 151, 250, 302, 500, 604, 755 … 75500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75500 is composite. Its prime factorisation is
- 3
The divisors add up to 165984; without 75500 itself that is 90484, so 75500 is abundant (90484 is more than 75500). Euler's totient φ(75500) = 30000 numbers up to 75500 share no factor with it.
- 4
The digits of 75500 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 262 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75500 = 2^{2} \times 5^{3} \times 151 \]75500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 165984 |
| Euler totient φ(n) | 30000 |
| Square | 5700250000 |
| Cube | 430368875000000 |
| Square root | 274.772633 (= 10√755) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 262 |
| Scientific notation | 7.55 × |
75500 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand five hundred |
| Binary (base 2) | 10010011011101100 |
| Octal (base 8) | 223354 |
| Hexadecimal (base 16) | 126EC |
| Base 3 | 10211120022 |
| As time | 75500 seconds = 20 h 58 min 20 s |
Is 75500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75500 ÷ 2 = 37750) | 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 (75500 ÷ 4 = 18875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (75500 ÷ 5 = 15100) | 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 5) | 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 4) | 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 (75500 ÷ 10 = 7550) | 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 75500 a prime number?
No. 75500 = × × 151, so it is divisible by 2.
What are the factors of 75500?
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 151, 250, 302, 500, 604, 755, 1510, 3020, 3775, 7550, 15100, 18875, 37750, 75500.
What is 75500 in binary?
10010011011101100 (hexadecimal 126EC, octal 223354).
What is the square root of 75500?
About 274.7726, exactly 10√755.
Is 75500 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 75500?
It is a composite number with 24 divisors.