Properties of the Number 29446

Twenty-Nine Thousand Four Hundred Forty-Six

Basics

Value: 29445 → 29446 → 29447

Parity: even

Prime: No

Previous Prime: 29443

Next Prime: 29453

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 14723

Divisors: 1, 2, 14723, 29446

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111001100000110

Octal: 71406

Duodecimal: 1505A

Hexadecimal: 7306

Square: 867066916

Square Root: 171.5983682906105

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..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230831

Expansion of g.f. A(x) satisfying 2·x = ∑_n=-oo..+oo x^n*(3·n+1/2) * (A(x)^3·n - 1/A(x)^3·n+1). A361552

Start with 443; if even, divide by 2; if odd, add next three primes: Orbit of 443 under iterations of A174221, the "PrimeLatz" map. A293978

Number of nX6 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230829

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A382450. A384777

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, 0, 1), (-1, 1, 0), (1, 0, 0)}. A148510

Number of n X n 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230824

Expansion of 1/((1-x⁹)(1-x¹⁰)(1-x¹¹)(1-x¹²)). A29446