The number 1829
1829 is a composite number with 4 divisors. Its prime factorisation is 31 × 59. Divisors (4): 1, 31, 59, 1829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1829: a semiprime: 31 × 59, the product of two primes.
- 2
1829 is composite. Its prime factorisation is
- 3
The divisors add up to 1920; without 1829 itself that is 91, so 1829 is deficient (91 is less than 1829). Euler's totient φ(1829) = 1740 numbers up to 1829 share no factor with it.
- 4
The digits of 1829 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1829 = 31 \times 59 \]
1829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1920 |
| Euler totient φ(n) | 1740 |
| Square | 3345241 |
| Cube | 6118445789 |
| Square root | 42.766810 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.829 × |
1829 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and twenty-nine |
| Roman numerals | MDCCCXXIX |
| Binary (base 2) | 11100100101 |
| Octal (base 8) | 3445 |
| Hexadecimal (base 16) | 725 |
| Base 3 | 2111202 |
| As time | 1829 seconds = 30 min 29 s |
Is 1829 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1829 a prime number?
No. 1829 = 31 × 59, so it is divisible by 31.
What are the factors of 1829?
1, 31, 59, 1829.
What is 1829 in binary?
11100100101 (hexadecimal 725, octal 3445).
What is the square root of 1829?
About 42.7668.
What is 1829 in Roman numerals?
MDCCCXXIX.
Is 1829 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 1829?
1829 is a semiprime: 31 × 59, the product of two primes.