The number 5995
5995 is a triangular number: 1 + 2 + … + 109 = 5995 and a palindrome: it reads 5995 backwards too. Its prime factorisation is 5 × 11 × 109. Divisors (8): 1, 5, 11, 55, 109, 545, 1199, 5995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5995: a triangular number: 1 + 2 + … + 109 = 5995; a palindrome: it reads 5995 backwards too.
- 2
5995 is composite. Its prime factorisation is
- 3
The divisors add up to 7920; without 5995 itself that is 1925, so 5995 is deficient (1925 is less than 5995). Euler's totient φ(5995) = 4320 numbers up to 5995 share no factor with it.
- 4
The digits of 5995 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5995 = 5 \times 11 \times 109 \]
5995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7920 |
| Euler totient φ(n) | 4320 |
| Square | 35940025 |
| Cube | 215460449875 |
| Square root | 77.427385 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.995 × |
5995 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and ninety-five |
| Binary (base 2) | 1011101101011 |
| Octal (base 8) | 13553 |
| Hexadecimal (base 16) | 176B |
| Base 3 | 22020001 |
| As time | 5995 seconds = 1 h 39 min 55 s |
Is 5995 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 1) | 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 (5995 ÷ 5 = 1199) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 | Yes (5995 ÷ 11 = 545) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5995 a prime number?
No. 5995 = 5 × 11 × 109, so it is divisible by 5.
What are the factors of 5995?
1, 5, 11, 55, 109, 545, 1199, 5995.
What is 5995 in binary?
1011101101011 (hexadecimal 176B, octal 13553).
What is the square root of 5995?
About 77.4274.
Is 5995 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 5995?
5995 is a triangular number: 1 + 2 + … + 109 = 5995; a palindrome: it reads 5995 backwards too.