A positive integer greater than 1 that is not prime is called composite.

Composite numbers are opposite to prime numbers.

• ...,
• 1707,
• 1708,
• 1710,
• 1711,
• 1712,
• 1713,
• 1714,
• ...

The number n is deficient if the sum of all its positive divisors except itself is less than n.

Compare with perfect and abundant numbers.

• ...,
• 1706,
• 1707,
• 1709,
• 1711,
• 1712,
• 1713,
• 1714,
• ...

The number n is evil if it has an even number of 1's in its binary expansion.

Guess what odious numbers are.

• ...,
• 1705,
• 1706,
• 1708,
• 1711,
• 1713,
• 1714,
• 1716,
• ...

To build the lucky number sequence, start with natural numbers. Delete every second number, leaving 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, ... . The second number remaining is 3, so delete every third number, leaving 1, 3, 7, 9, 13, 15, 19, 21, ... . The next number remaining is 7, so delete every 7th number, leaving 1, 3, 7, 9, 13, 15, 21, ... . The next number remaining is 9, so delete every ninth number, etc.

Those numbers were lucky they weren't crossed out.

• ...,
• 1693,
• 1701,
• 1705,
• 1711,
• 1723,
• 1731,
• 1737,
• ...

A number is odd if it is not divisible by 2.

Numbers that are not odd are even. Compare with another pair -- evil and odious numbers.

• ...,
• 1705,
• 1707,
• 1709,
• 1711,
• 1713,
• 1715,
• 1717,
• ...

A number is said to be square-free if its prime decomposition contains no repeated factors.

• ...,
• 1706,
• 1707,
• 1709,
• 1711,
• 1713,
• 1714,
• 1717,
• ...

If you start with n points on a line, then draw n-1 points above and between, then n-2 above and between them, and so on, you will get a triangle of points. The number of points in this triangle is a triangle number.

Compare to square, pentagonal and tetrahedral numbers.

• ...,
• 1540,
• 1596,
• 1653,
• 1711,
• 1770,
• 1830,
• 1891,
• ...