The number 1690
1690 is a composite number with 12 divisors. Its prime factorisation is 2 × 5 × . Divisors (12): 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1690 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1690 is composite. Its prime factorisation is
- 3
The divisors add up to 3294; without 1690 itself that is 1604, so 1690 is deficient (1604 is less than 1690). Euler's totient φ(1690) = 624 numbers up to 1690 share no factor with it.
- 4
The digits of 1690 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1690 = 2 \times 5 \times 13^{2} \]1690 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3294 |
| Euler totient φ(n) | 624 |
| Square | 2856100 |
| Cube | 4826809000 |
| Square root | 41.109610 (= 13√10) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.69 × |
1690 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and ninety |
| Roman numerals | MDCXC |
| Binary (base 2) | 11010011010 |
| Octal (base 8) | 3232 |
| Hexadecimal (base 16) | 69A |
| Base 3 | 2022121 |
| As time | 1690 seconds = 28 min 10 s |
Is 1690 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1690 ÷ 2 = 845) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1690 ÷ 5 = 338) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1690 ÷ 10 = 169) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1690 a prime number?
No. 1690 = 2 × 5 × , so it is divisible by 2.
What are the factors of 1690?
1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690.
What is 1690 in binary?
11010011010 (hexadecimal 69A, octal 3232).
What is the square root of 1690?
About 41.1096, exactly 13√10.
What is 1690 in Roman numerals?
MDCXC.
Is 1690 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1690?
It is a composite number with 12 divisors.