Properties of the Number 40413

Forty Thousand Four Hundred Thirteen

Basics

Value: 40412 → 40413 → 40414

Parity: odd

Prime: No

Previous Prime: 40387

Next Prime: 40423

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 709

Divisors: 1, 3, 19, 57, 709, 2127, 13471, 40413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110111011101

Octal: 116735

Duodecimal: 1B479

Hexadecimal: 9ddd

Square: 1633210569

Square Root: 201.02984853001308

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

Expansion of χ(-q³) / χ³(-q) in powers of q where χ() is a Ramanujan θ function. A128128

The number of vertices formed on an isosceles triangle by straight line segments mutually connecting all vertices and all points that divide the two equal length sides into n equal parts; the base of the triangle contains no points other than its vertices. A333026

Expansion of f(q, q²) * f(-q³) / f(-q²)² in powers of q where f(, ), f() are Ramanujan θ functions. A132180

Expansion of χ(q³) / χ³(q) in powers of q where χ() is a Ramanujan θ function. A294387

Expansion of b(q³)b(q²)²/(b(q)b(q⁶)²) in powers of q where b(q) is a cubic AGM function. A122831

Number of 3 X n 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224134

Number of homeomorphically irreducible general graphs on 3 labeled node and with n edges. A60578

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), (-1, 1, 0), (0, 1, 1), (1, 0, 0)}. A149988

Values of k where A336957(k)/k sets a new record. A338056

Continued fraction for sqrt(434). A40413