The number 1797
1797 is a composite number with 4 divisors. Its prime factorisation is 3 × 599. Divisors (4): 1, 3, 599, 1797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1797: a semiprime: 3 × 599, the product of two primes.
- 2
1797 is composite. Its prime factorisation is
- 3
The divisors add up to 2400; without 1797 itself that is 603, so 1797 is deficient (603 is less than 1797). Euler's totient φ(1797) = 1196 numbers up to 1797 share no factor with it.
- 4
The digits of 1797 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1797 = 3 \times 599 \]
1797 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2400 |
| Euler totient φ(n) | 1196 |
| Square | 3229209 |
| Cube | 5802888573 |
| Square root | 42.391037 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.797 × |
1797 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and ninety-seven |
| Roman numerals | MDCCXCVII |
| Binary (base 2) | 11100000101 |
| Octal (base 8) | 3405 |
| Hexadecimal (base 16) | 705 |
| Base 3 | 2110120 |
| As time | 1797 seconds = 29 min 57 s |
Is 1797 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 (1797 ÷ 3 = 599) | 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 2) | 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 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1797 a prime number?
No. 1797 = 3 × 599, so it is divisible by 3.
What are the factors of 1797?
1, 3, 599, 1797.
What is 1797 in binary?
11100000101 (hexadecimal 705, octal 3405).
What is the square root of 1797?
About 42.3910.
What is 1797 in Roman numerals?
MDCCXCVII.
Is 1797 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 1797?
1797 is a semiprime: 3 × 599, the product of two primes.