Properties of the Number 73812

Seventy-Three Thousand Eight Hundred Twelve

Basics

Value: 73811 → 73812 → 73813

Parity: even

Prime: No

Previous Prime: 73783

Next Prime: 73819

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 6151

Divisors: 1, 2, 3, 4, 6, 12, 6151, 12302, 18453, 24604

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010000001010100

Octal: 220124

Duodecimal: 36870

Hexadecimal: 12054

Square: 5448211344

Square Root: 271.68363955159316

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

a(n) = 2·a(n-1) + 3·a(n-2), with a(0) = 2 and a(1) = 3. A135522

Square array: A(row,col) = A003602(A254051(row,col)), read by antidiagonals A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A254055

Triangle read by rows where the n-th row is the first row of Mⁿ, with M the (n+1)-by-(n+1) matrix with (3,1,3,1,3,1,...) on its main diagonal and (1,3,1,3,1,3,...) on its superdiagonal. A124573

Total path length of the complete ternary tree of height n. A289399

a(n+1) = 9·a(n) - 6, a(0) = 2. A137483

Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253431

Number of (4+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253438

Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 3,2 4,3 4,4 polyhexes in any orientation on a planar nXnXn triangular grid. A155310

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253435

Triangle read by rows: T(n,k) is number of binary words of length n and having k runs of 0's of odd length, 0 <= k <= ceiling(n/2). (A run of 0's is a subsequence of consecutive 0's of maximal length.) A119473