1183 is the 13th pentagonal pyramidal number. Here’s an attempt to illustrate that fact. (Try to think 3-dimensionally.):

Here are some more facts about the number 1183:

- 1183 is a composite number.
- Prime factorization: 1183 = 7 × 13 × 13, which can be written 1183 = 7 × 13
**²** - The exponents in the prime factorization are 1 and 2. Adding one to each and multiplying we get (1 + 1)(2 + 1) = 2 × 3 = 6. Therefore 1183 has exactly 6 factors.
- Factors of 1183: 1, 7, 13, 91, 169, 1183
- Factor pairs: 1183 = 1 × 1183, 7 × 169, or 13 × 91
- Taking the factor pair with the largest square number factor, we get √1183 = (√169)(√7) = 13√7 ≈ 34.39476

1183 is the hypotenuse of two Pythagorean triples:

833-840-1183 which is **7** times (119-120-**169**)

455-1092-1183 which is (5-12-**13**) times **91**

I like 1183 in a couple of different bases:

It’s palindrome 1121211 in BASE 3 because

3⁶ + 3⁵ + 2(3⁴) + 3³ + 2(3²) + 3 + 1 = 1183,

and it’s 700 in BASE 13 because 7(13²) = 1183

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