The number 1835
1835 is a composite number with 4 divisors. Its prime factorisation is 5 × 367. Divisors (4): 1, 5, 367, 1835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1835: a semiprime: 5 × 367, the product of two primes.
- 2
1835 is composite. Its prime factorisation is
- 3
The divisors add up to 2208; without 1835 itself that is 373, so 1835 is deficient (373 is less than 1835). Euler's totient φ(1835) = 1464 numbers up to 1835 share no factor with it.
- 4
The digits of 1835 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1835 = 5 \times 367 \]
1835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2208 |
| Euler totient φ(n) | 1464 |
| Square | 3367225 |
| Cube | 6178857875 |
| Square root | 42.836900 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.835 × |
1835 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and thirty-five |
| Roman numerals | MDCCCXXXV |
| Binary (base 2) | 11100101011 |
| Octal (base 8) | 3453 |
| Hexadecimal (base 16) | 72B |
| Base 3 | 2111222 |
| As time | 1835 seconds = 30 min 35 s |
Is 1835 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 2) | 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 (1835 ÷ 5 = 367) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1835 a prime number?
No. 1835 = 5 × 367, so it is divisible by 5.
What are the factors of 1835?
1, 5, 367, 1835.
What is 1835 in binary?
11100101011 (hexadecimal 72B, octal 3453).
What is the square root of 1835?
About 42.8369.
What is 1835 in Roman numerals?
MDCCCXXXV.
Is 1835 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1835?
1835 is a semiprime: 5 × 367, the product of two primes.