The number 4995
4995 is a composite number with 16 divisors. Its prime factorisation is × 5 × 37. Divisors (16): 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4995: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
4995 is composite. Its prime factorisation is
- 3
The divisors add up to 9120; without 4995 itself that is 4125, so 4995 is deficient (4125 is less than 4995). Euler's totient φ(4995) = 2592 numbers up to 4995 share no factor with it.
- 4
The digits of 4995 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4995 = 3^{3} \times 5 \times 37 \]4995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9120 |
| Euler totient φ(n) | 2592 |
| Square | 24950025 |
| Cube | 124625374875 |
| Square root | 70.675314 (= 3√555) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.995 × |
4995 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and ninety-five |
| Binary (base 2) | 1001110000011 |
| Octal (base 8) | 11603 |
| Hexadecimal (base 16) | 1383 |
| Base 3 | 20212000 |
| As time | 4995 seconds = 1 h 23 min 15 s |
Is 4995 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 (4995 ÷ 3 = 1665) | 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 (4995 ÷ 5 = 999) | 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 4) | 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 | Yes (4995 ÷ 9 = 555) | 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 4995 a prime number?
No. 4995 = × 5 × 37, so it is divisible by 3.
What are the factors of 4995?
1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995.
What is 4995 in binary?
1001110000011 (hexadecimal 1383, octal 11603).
What is the square root of 4995?
About 70.6753, exactly 3√555.
Is 4995 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4995?
4995 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.