The number 1790
1790 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 179. Divisors (8): 1, 2, 5, 10, 179, 358, 895, 1790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1790 is composite. Its prime factorisation is
- 3
The divisors add up to 3240; without 1790 itself that is 1450, so 1790 is deficient (1450 is less than 1790). Euler's totient φ(1790) = 712 numbers up to 1790 share no factor with it.
- 4
The digits of 1790 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1790 = 2 \times 5 \times 179 \]
1790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3240 |
| Euler totient φ(n) | 712 |
| Square | 3204100 |
| Cube | 5735339000 |
| Square root | 42.308392 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.79 × |
1790 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and ninety |
| Roman numerals | MDCCXC |
| Binary (base 2) | 11011111110 |
| Octal (base 8) | 3376 |
| Hexadecimal (base 16) | 6FE |
| Base 3 | 2110022 |
| As time | 1790 seconds = 29 min 50 s |
Is 1790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1790 ÷ 2 = 895) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1790 ÷ 5 = 358) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | 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 | Yes (1790 ÷ 10 = 179) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1790 a prime number?
No. 1790 = 2 × 5 × 179, so it is divisible by 2.
What are the factors of 1790?
1, 2, 5, 10, 179, 358, 895, 1790.
What is 1790 in binary?
11011111110 (hexadecimal 6FE, octal 3376).
What is the square root of 1790?
About 42.3084.
What is 1790 in Roman numerals?
MDCCXC.
Is 1790 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1790?
It is a composite number with 8 divisors.