The number 2835
2835 is a composite number with 20 divisors. Its prime factorisation is × 5 × 7. Divisors (20): 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315 … 2835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2835 is composite. Its prime factorisation is
- 3
The divisors add up to 5808; without 2835 itself that is 2973, so 2835 is abundant (2973 is more than 2835). Euler's totient φ(2835) = 1296 numbers up to 2835 share no factor with it.
- 4
The digits of 2835 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2835 = 3^{4} \times 5 \times 7 \]2835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 5808 |
| Euler totient φ(n) | 1296 |
| Square | 8037225 |
| Cube | 22785532875 |
| Square root | 53.244718 (= 9√35) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 79 |
| Scientific notation | 2.835 × |
2835 in other forms
| Form | Value |
|---|---|
| In words | two thousand eight hundred and thirty-five |
| Roman numerals | MMDCCCXXXV |
| Binary (base 2) | 101100010011 |
| Octal (base 8) | 5423 |
| Hexadecimal (base 16) | B13 |
| Base 3 | 10220000 |
| As time | 2835 seconds = 47 min 15 s |
Is 2835 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 (2835 ÷ 3 = 945) | 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 (2835 ÷ 5 = 567) | 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 | Yes (2835 ÷ 7 = 405) | 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 (2835 ÷ 9 = 315) | 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 8) | 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 2835 a prime number?
No. 2835 = × 5 × 7, so it is divisible by 3.
What are the factors of 2835?
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 315, 405, 567, 945, 2835.
What is 2835 in binary?
101100010011 (hexadecimal B13, octal 5423).
What is the square root of 2835?
About 53.2447, exactly 9√35.
What is 2835 in Roman numerals?
MMDCCCXXXV.
Is 2835 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2835?
It is a composite number with 20 divisors.