Properties of the Number 4306

Four Thousand Three Hundred Six

Basics

Value: 4305 → 4306 → 4307

Parity: even

Prime: No

Previous Prime: 4297

Next Prime: 4327

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 2153

Divisors: 1, 2, 2153, 4306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011010010

Octal: 10322

Duodecimal: 25AA

Hexadecimal: 10d2

Square: 18541636

Square Root: 65.62011886609167

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

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

Number of inversion sequences avoiding pattern 201 (or 210). A263777

Number of partitions of n of the form a₁*b₁² + a₂*b₂² + ...; number of semisimple rings with pⁿ elements for any prime p. A4101

Expansion of 1/(1 - x*∏_k>=1 1/(1 + x^k)). A299208

Start with a single pentagon; at n-th generation add a pentagon at each expandable vertex; a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247619

Numbers k such that the numerator of Bernoulli(k)/k is (apart from sign) prime. A112548

Positions of 10 in A274640. A275194

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero. A297823

Numbers that are the sum of six fourth powers in three or more ways. A345560

Numbers that are the sum of six fourth powers in exactly three ways. A345815