Properties of the Number 6437

Six Thousand Four Hundred Thirty-Seven

Basics

Value: 6436 → 6437 → 6438

Parity: odd

Prime: No

Previous Prime: 6427

Next Prime: 6449

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 41 × 157

Divisors: 1, 41, 157, 6437

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100100101

Octal: 14445

Duodecimal: 3885

Hexadecimal: 1925

Square: 41434969

Square Root: 80.23091673413684

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

Numbers k such that k*(k+1)/2 + 1 is a square. A6451

Numbers whose binary expansion generates rotationally symmetric XOR-triangles. A334556

X-toothpick sequence on Z³ lattice (see Comments for precise definition). A160170

Number of cyclic subgroups of the group C_n x C_n x C_n x C_n, where C_n is the cyclic group of order n. A280184

Square table read by antidiagonals which forms a permutation of the natural numbers: T(n,0) = floor(n·x/(x-1))+1, T(n,k+1) = ceiling(x·T(n,k)), for n>=0, k>=0, where x = 1 + sqrt(2). A83087

Numbers k such that the digit sum of 167^k is divisible by k. A175552

Number of sets of integer-sided rectangular pieces that can tile a 3 X n rectangle. A360632

a(n) = (1/2) * (5·P(n+1) + P(n) - 1), where P(k) are the Pell numbers A000129. A98586

G.f.: 1/((1-x)*(1-x²)*(1-x³)*(1-x⁴)*(1-x⁵))². A117487

T(n,k)=Number of triangular nXnXn arrays of occupancy after each element moves to some neighbor and with no occupancy greater than k. A217245