Properties of the Number 49721

Forty-Nine Thousand Seven Hundred Twenty-One

Basics

Value: 49720 → 49721 → 49722

Parity: odd

Prime: No

Previous Prime: 49711

Next Prime: 49727

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 7103

Divisors: 1, 7, 7103, 49721

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001000111001

Octal: 141071

Duodecimal: 24935

Hexadecimal: c239

Square: 2472177841

Square Root: 222.98206205881226

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

Number of directed animals of size n (or directed n-ominoes in standard position). A5773

E.g.f.: A(x) = exp(x·exp(2·x*exp(3·x*exp(...exp(n·x*exp(...))...)))), for n>=1. A96537

Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k DUUU's. A135308

Transform of C(n+1,floor((n+1)/2)) by A178112. A178113

Number of valid hook configurations of permutations of [n] that avoid the patterns 231 and 1243. A307789

a(n) = prime(n+2)³ - prime(n+1)² + prime(n). A261464

Expansion of g.f. A(x,y) satisfying ∑_n>=0 ∏_k=1..n (x^k + y·A(x,y)) = 1 + (y+1) * ∑_n>=1 x^n*(n+1/2), as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y) read by rows. A370140

Expansion of g.f. A(x) satisfying A(x) = Series_Reversion( x - x·A'(x)*A(x) ). A360578

Triangle, read by rows, of pairwise sums of trinomial coefficients (A027907). A104029

E.g.f.: A(x) = exp(x·exp(x·exp(2·x*exp(3·x*exp(...exp(n·x*exp(...))...))))). A189897