Properties of the Number 13644

Thirteen Thousand Six Hundred Forty-Four

Basics

Value: 13643 → 13644 → 13645

Parity: even

Prime: No

Previous Prime: 13633

Next Prime: 13649

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 379

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 379

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101001100

Octal: 32514

Duodecimal: 7A90

Hexadecimal: 354c

Square: 186158736

Square Root: 116.8075340035907

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

Lower triangular matrix T, read by rows, such that the row sums of Tⁿ form the n-dimensional partitions. A96651

T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. A209047

Absolute value of coefficients of an elliptic function. A1940

G.f.: 2·q * ∏_n>=1 (1 + q^2·n)/((1 + qⁿ)*(1 + q^2·n-1)*(1 + q^4·n)) in powers of q. A293132

Expansion of (ψ(x) / φ(x))⁶ in powers of·where φ(), ψ() are Ramanujan θ functions. A320049

Binary encoding of balanced ordered rooted trees (counted by A007059). A358524

Number of n X 2 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. A209041

Number of nX4 0..3 arrays with no element equal the average of immediate neighbors vertically above and horizontally left of it. A209043

Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 5 which is symmetric after a rotation by 180 degrees. A123787

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), (0, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 0)}. A150664