Properties of the Number 40431

Forty Thousand Four Hundred Thirty-One

Basics

Value: 40430 → 40431 → 40432

Parity: odd

Prime: No

Previous Prime: 40429

Next Prime: 40433

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13477

Divisors: 1, 3, 13477, 40431

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110111101111

Octal: 116757

Duodecimal: 1B493

Hexadecimal: 9def

Square: 1634665761

Square Root: 201.07461301715838

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..4 arrays of sums of 2X2 subblocks of some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order. A226992

a(n) = C(n-2,2)+C(n-5,5)+...+C(n-(3·floor((n-3)/3)+2),3·floor((n-3)/3)+2). A101551

E.g.f. satisfies A(x) = exp(x / A(-x)²). A360989

a(n) = 28·n² - 1. A158554

Meanders of length n and central angle < 360 degrees. A200062

Numbers k that divide the (left) concatenation of all numbers <= k written in base 7 (most significant digit on left). A29476

Numbers k with property that 19·k + {2,4,8,10} are two pairs of consecutive twin primes. A152926

Number of nX3 0..4 arrays of sums of 2X2 subblocks of some (n+1)X4 binary array with rows and columns of the latter in lexicographically nondecreasing order. A226989

Expansion of (1 + x)²/(1 - x³*(1 + x)³). A375321

Consider the base-5 Kaprekar map n->K(n) defined in A165032. Sequence gives numbers belonging to cycles, including fixed points. A165037