Properties of the Number 58333

Fifty-Eight Thousand Three Hundred Thirty-Three

Basics

Value: 58332 → 58333 → 58334

Parity: odd

Prime: No

Previous Prime: 58321

Next Prime: 58337

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 × 5303

Divisors: 1, 11, 5303, 58333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001111011101

Octal: 161735

Duodecimal: 29911

Hexadecimal: e3dd

Square: 3402738889

Square Root: 241.52225570327883

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

T(n,k)=Number of nXk 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors. A183483

Diagonal sums of number triangle A109956. A109957

Principal diagonal of the convolution array A213505. A213546

Number of nX3 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors. A183477

Semiprimes sp of the form p² + q + 1 where p and q are consecutive primes. A242243

Number of nX7 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors. A183481

a(n) = ∑_{k=1..floor(n/2)} k² * (n-k)². A337173

Number of equivalence classes of length n squarefree reduced words over {0, 1, 2, 3} under action of renaming symbols. A343484

Number of 3 X 3 matrices with elements from [0,...,(n-1)] satisfying the condition that the middle element of each row or column is the difference of the two end elements (in absolute value). A58333

Number of nX7 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, diagonally or antidiagonally. A232919