The number 7995
7995 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 41. Divisors (16): 1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7995: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7995 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 7995 itself that is 6117, so 7995 is deficient (6117 is less than 7995). Euler's totient φ(7995) = 3840 numbers up to 7995 share no factor with it.
- 4
The digits of 7995 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7995 = 3 \times 5 \times 13 \times 41 \]
7995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 3840 |
| Square | 63920025 |
| Cube | 511040599875 |
| Square root | 89.414764 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.995 × |
7995 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and ninety-five |
| Binary (base 2) | 1111100111011 |
| Octal (base 8) | 17473 |
| Hexadecimal (base 16) | 1F3B |
| Base 3 | 101222010 |
| As time | 7995 seconds = 2 h 13 min 15 s |
Is 7995 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 (7995 ÷ 3 = 2665) | 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 (7995 ÷ 5 = 1599) | 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 1) | 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 9) | 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 7995 a prime number?
No. 7995 = 3 × 5 × 13 × 41, so it is divisible by 3.
What are the factors of 7995?
1, 3, 5, 13, 15, 39, 41, 65, 123, 195, 205, 533, 615, 1599, 2665, 7995.
What is 7995 in binary?
1111100111011 (hexadecimal 1F3B, octal 17473).
What is the square root of 7995?
About 89.4148.
Is 7995 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 7995?
7995 is a happy number: repeatedly adding the squares of its digits reaches 1.