The number 75137
75137 is a composite number with 4 divisors. Its prime factorisation is 227 × 331. Divisors (4): 1, 227, 331, 75137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75137: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 227 × 331, the product of two primes.
- 2
75137 is composite. Its prime factorisation is
- 3
The divisors add up to 75696; without 75137 itself that is 559, so 75137 is deficient (559 is less than 75137). Euler's totient φ(75137) = 74580 numbers up to 75137 share no factor with it.
- 4
The digits of 75137 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75137 = 227 \times 331 \]
75137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 75696 |
| Euler totient φ(n) | 74580 |
| Square | 5645568769 |
| Cube | 424191100596353 |
| Square root | 274.111291 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.5137 × |
75137 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand one hundred and thirty-seven |
| Binary (base 2) | 10010010110000001 |
| Octal (base 8) | 222601 |
| Hexadecimal (base 16) | 12581 |
| Base 3 | 10211001212 |
| As time | 75137 seconds = 20 h 52 min 17 s |
Is 75137 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 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75137 a prime number?
No. 75137 = 227 × 331, so it is divisible by 227.
What are the factors of 75137?
1, 227, 331, 75137.
What is 75137 in binary?
10010010110000001 (hexadecimal 12581, octal 222601).
What is the square root of 75137?
About 274.1113.
Is 75137 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 75137?
75137 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 227 × 331, the product of two primes.