Properties of the Number 78282

Seventy-Eight Thousand Two Hundred Eighty-Two

Basics

Value: 78281 → 78282 → 78283

Parity: even

Prime: No

Previous Prime: 78277

Next Prime: 78283

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 4349

Divisors: 1, 2, 3, 6, 9, 18, 4349, 8698, 13047, 26094

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000111001010

Octal: 230712

Duodecimal: 39376

Hexadecimal: 131ca

Square: 6128071524

Square Root: 279.7892063679369

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

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

G.f. A(x,y) satisfies: x·y = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355350

a(n) = A027052(n, 2n-7). A27063

a(1) = 1, a(n) is the smallest multiple of n which begins with a(n-1) and is greater than a(n-1). A78282

Divide A374965 into "blocks" by saying that each prime term ends a block; sequence gives lengths of successive blocks. A373798