The number 37875
37875 is a composite number with 16 divisors. Its prime factorisation is 3 × × 101. Divisors (16): 1, 3, 5, 15, 25, 75, 101, 125, 303, 375, 505, 1515, 2525, 7575, 12625, 37875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37875 is composite. Its prime factorisation is
- 3
The divisors add up to 63648; without 37875 itself that is 25773, so 37875 is deficient (25773 is less than 37875). Euler's totient φ(37875) = 20000 numbers up to 37875 share no factor with it.
- 4
The digits of 37875 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37875 = 3 \times 5^{3} \times 101 \]37875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63648 |
| Euler totient φ(n) | 20000 |
| Square | 1434515625 |
| Cube | 54332279296875 |
| Square root | 194.615005 (= 5√1515) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7875 × |
37875 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and seventy-five |
| Binary (base 2) | 1001001111110011 |
| Octal (base 8) | 111763 |
| Hexadecimal (base 16) | 93F3 |
| Base 3 | 1220221210 |
| As time | 37875 seconds = 10 h 31 min 15 s |
Is 37875 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 | Yes (37875 ÷ 3 = 12625) | 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 (37875 ÷ 5 = 7575) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37875 a prime number?
No. 37875 = 3 × × 101, so it is divisible by 3.
What are the factors of 37875?
1, 3, 5, 15, 25, 75, 101, 125, 303, 375, 505, 1515, 2525, 7575, 12625, 37875.
What is 37875 in binary?
1001001111110011 (hexadecimal 93F3, octal 111763).
What is the square root of 37875?
About 194.6150, exactly 5√1515.
Is 37875 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 37875?
It is a composite number with 16 divisors.