Properties of the Number 33249

Thirty-Three Thousand Two Hundred Forty-Nine

Basics

Value: 33248 → 33249 → 33250

Parity: odd

Prime: No

Previous Prime: 33247

Next Prime: 33287

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11083

Divisors: 1, 3, 11083, 33249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000111100001

Octal: 100741

Duodecimal: 172A9

Hexadecimal: 81e1

Square: 1105496001

Square Root: 182.34308322500198

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of singular 2 X 2 matrices having all elements in {-n,...,n}. A209981

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 966", based on the 5-celled von Neumann neighborhood. A290832

Number of set-like atomic species of degree n. A7650

A coefficient tree from the list partition transform relating A111884, A084358, A000262, A094587, A128229 and A131758. A131202

a(n) = 2ⁿ + 2·n² + 2·n + 1. A321123

Number of permutations in S_n that avoid the pattern 35124. A256198

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 1, 1), (1, 0, -1), (1, 1, -1)}. A149014

Primes of form x²+77·y². A33249

Number of self-inverse permutations p on [n] where the maximal displacement of an element equals 6. A238917

Triangle, read by rows, defined by T(n, k) = b(n) - b(k) - b(n-k) + 1 (see formula section for recurrence for b(n)). A176482