Properties of the Number 82778

Eighty-Two Thousand Seven Hundred Seventy-Eight

Basics

Value: 82777 → 82778 → 82779

Parity: even

Prime: No

Previous Prime: 82763

Next Prime: 82781

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 41389

Divisors: 1, 2, 41389, 82778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001101011010

Octal: 241532

Duodecimal: 3BAA2

Hexadecimal: 1435a

Square: 6852197284

Square Root: 287.71166121657285

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) = 3·a(n-1) - a(n-2) for n >= 2, with a(0) = a(1) = 1. A1519

Triangle read by rows: T(n, k) = binomial(n + k, 2·k). A85478

Triangular array binomial(2·n-k, k), k=0..n, n >= 0. A54142

Compose the natural numbers with themselves, A(x) = B(B(x)) where B(x) = x/(1-x)² is the generating function for natural numbers. A30267

a(1) = 3; for n>1, a(n) = smallest palindromic multiple of a(n-1) obtained by inserting digits anywhere in a(n-1). A82778

Triangle read by rows: T(n,k) is the number of directed column-convex polyominoes of area n, having the top of the rightmost column at height k. A105306

Number of subwords of the form UUUU in nondecreasing Dyck paths of length 2n. A375995

Number of subwords of the form UDD in nondecreasing Dyck paths of length 2n. A377670

Number of subwords of the form DDD in nondecreasing Dyck paths of length 2n. A377679

Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n, having pyramid weight k (1 <= k <= n). A121462