The number 37995
37995 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 17 × 149. Divisors (16): 1, 3, 5, 15, 17, 51, 85, 149, 255, 447, 745, 2235, 2533, 7599, 12665, 37995.
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How to work it out
- 1
37995 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37995 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 37995 itself that is 26805, so 37995 is deficient (26805 is less than 37995). Euler's totient φ(37995) = 18944 numbers up to 37995 share no factor with it.
- 4
The digits of 37995 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37995 = 3 \times 5 \times 17 \times 149 \]
37995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 18944 |
| Square | 1443620025 |
| Cube | 54850342849875 |
| Square root | 194.923062 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7995 × |
37995 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and ninety-five |
| Binary (base 2) | 1001010001101011 |
| Octal (base 8) | 112153 |
| Hexadecimal (base 16) | 946B |
| Base 3 | 1221010020 |
| As time | 37995 seconds = 10 h 33 min 15 s |
Is 37995 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 (37995 ÷ 3 = 12665) | 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 (37995 ÷ 5 = 7599) | 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 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 3) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 37995 a prime number?
No. 37995 = 3 × 5 × 17 × 149, so it is divisible by 3.
What are the factors of 37995?
1, 3, 5, 15, 17, 51, 85, 149, 255, 447, 745, 2235, 2533, 7599, 12665, 37995.
What is 37995 in binary?
1001010001101011 (hexadecimal 946B, octal 112153).
What is the square root of 37995?
About 194.9231.
Is 37995 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 37995?
It is a composite number with 16 divisors.