Properties of the Number 40383

Forty Thousand Three Hundred Eighty-Three

Basics

Value: 40382 → 40383 → 40384

Parity: odd

Prime: No

Previous Prime: 40361

Next Prime: 40387

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 641

Divisors: 1, 3, 7, 9, 21, 63, 641, 1923, 4487, 5769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110110111111

Octal: 116677

Duodecimal: 1B453

Hexadecimal: 9dbf

Square: 1630786689

Square Root: 200.9552188921701

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)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nXk array. A218765

Expansion of g.f. 1/((1 - x)*(1 - 2·x)*(1 - 4·x)*(1 - 12·x)). A21104

Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX3 array. A218760

Number of base 15 circular n-digit numbers with adjacent digits differing by 1 or less. A124708

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 1), (1, -1, 1), (1, 1, 0)}. A150530

Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nX7 array. A218764

Number of ways to write n as 2·t + u⁴ + v⁴ + 2·w⁴ + 3·x⁴ + 4·y⁴ + 6·z⁴, where t is 0 or 1, and u, v, w, x, y, z are nonnegative integers with u <= v and v > 0. A267861

Continued fraction for sqrt(404). A40383