The number 3835
3835 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 59. Divisors (8): 1, 5, 13, 59, 65, 295, 767, 3835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3835 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 3835 itself that is 1205, so 3835 is deficient (1205 is less than 3835). Euler's totient φ(3835) = 2784 numbers up to 3835 share no factor with it.
- 4
The digits of 3835 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3835 = 5 \times 13 \times 59 \]
3835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 2784 |
| Square | 14707225 |
| Cube | 56402207875 |
| Square root | 61.927377 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.835 × |
3835 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and thirty-five |
| Roman numerals | MMMDCCCXXXV |
| Binary (base 2) | 111011111011 |
| Octal (base 8) | 7373 |
| Hexadecimal (base 16) | EFB |
| Base 3 | 12021001 |
| As time | 3835 seconds = 1 h 3 min 55 s |
Is 3835 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 (3835 ÷ 5 = 767) | 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 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 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 | No (remainder 7) | 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 3835 a prime number?
No. 3835 = 5 × 13 × 59, so it is divisible by 5.
What are the factors of 3835?
1, 5, 13, 59, 65, 295, 767, 3835.
What is 3835 in binary?
111011111011 (hexadecimal EFB, octal 7373).
What is the square root of 3835?
About 61.9274.
What is 3835 in Roman numerals?
MMMDCCCXXXV.
Is 3835 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3835?
It is a composite number with 8 divisors.