Properties of the Number 28166

Twenty-Eight Thousand One Hundred Sixty-Six

Basics

Value: 28165 → 28166 → 28167

Parity: even

Prime: No

Previous Prime: 28163

Next Prime: 28181

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 14083

Divisors: 1, 2, 14083, 28166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110111000000110

Octal: 67006

Duodecimal: 14372

Hexadecimal: 6e06

Square: 793323556

Square Root: 167.8272921785965

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) = lim_n->infinity (P(n) - 1)/(2·x)ⁿ, where P(1,x) = 1/sqrt(1-4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x/P(n,x)) for n >= 1. A351509

Numbers k such that k-th and (k+1)-st term of A038593 differ by 5. A38636

Expansion of g.f. A(x) satisfying A(x) = 1 + x·A(x)/(1 - 5·x*A(x))². A365775

G.f. A(x) = ∏_n>=1 P(n,x), where P(1,x) = 1/sqrt(1-4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x/P(n,x)) for n >= 1. A351511

Triangle, read by rows, T(n,k,m) = (m*(n-k)+1)*binomial(n-1, k-1) + (m·k+1)* binomial(n-1, k) - m·k*(n-k)*binomial(n-2, k-1), with m = 3. A157174

G.f. A(x,y) = lim_N->infinity (1 - P(N,x,y))/(2·x)^N, where P(0,x,y) = -y, and P(n+1,x,y) = sqrt(1 - 4·x + 4·x*P(n,x,y)) for n = 0..N-1. A352093

Expansion of 1/((1-5x)(1-6x)(1-7x)(1-9x)). A28166