Properties of the Number 80355

Eighty Thousand Three Hundred Fifty-Five

Basics

Value: 80354 → 80355 → 80356

Parity: odd

Prime: No

Previous Prime: 80347

Next Prime: 80363

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 487

Divisors: 1, 3, 5, 11, 15, 33, 55, 165, 487, 1461

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100111100011

Octal: 234743

Duodecimal: 3A603

Hexadecimal: 139e3

Square: 6456926025

Square Root: 283.46957508699234

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 compositions of n when parts 1 and 2 are of two kinds. A52536

a(n) = 3·a(n-1) - a(n-3) for n>2, with a(0)=1, a(1)=-1, a(2)=0. A122100

a(n) = -3·a(n-1) + a(n-3) for n>2, with a(0)=1, a(1)=1, a(2)=0. A122099

Number of thrice-partitions of n. A301595

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-1,0,1,2}, n=3·r+p_i, and define a(-1)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,2,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x³-2·x) with x=2·cos(π/9). A187504

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-1,0,1,2}, n=3·r+p_i, and define a(-1)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,3,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x³-2·x) with x=2·cos(π/9). A187505

a(1)=1; thereafter, a(n+1) = a(n) + 2^prime(n-1). A80355