Properties of the Number 29676

Twenty-Nine Thousand Six Hundred Seventy-Six

Basics

Value: 29675 → 29676 → 29677

Parity: even

Prime: No

Previous Prime: 29671

Next Prime: 29683

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 2473

Divisors: 1, 2, 3, 4, 6, 12, 2473, 4946, 7419, 9892

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111101100

Octal: 71754

Duodecimal: 15210

Hexadecimal: 73ec

Square: 880664976

Square Root: 172.26723426119082

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 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having nonzero determinant. A227594

a(n) = ceiling((n - sqrt(n))ⁿ). A91146

Number of nX3 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X4 binary array having nonzero determinant. A227591

Number of nX5 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X6 binary array having nonzero determinant. A227593

G.f. A(x) satisfies A(x/A(x)²) = 1 + x ; thus A(x) = 1 + Series_Reversion(x/A(x)²). A120970

Triangle, read by rows, where row n equals the coefficients of y^k in R_n-1(y+y²) for k=3..n, where R_n(y) is the n-th row polynomial in y for n>=3 with R₃(y)=y³. A187120

G.f. A(x) satisfies: [xⁿ⁺³] A(Fⁿ(x)) = 0 for n>0 where Fⁿ(x) denotes the n-th iteration of F(x) = x+x² with F⁰(x)=x. A187124

Number of tilings of an n X 10 rectangle using integer-sided rectangular tiles of area n. A220135

θ series of quadratic form with Gram matrix [ 3, 1, 0; 1, 3, 1; 0, 1, 4 ]. A29676