Properties of the Number 19116

Nineteen Thousand One Hundred Sixteen

Basics

Value: 19115 → 19116 → 19117

Parity: even

Prime: No

Previous Prime: 19087

Next Prime: 19121

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 59

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010101100

Octal: 45254

Duodecimal: B090

Hexadecimal: 4aac

Square: 365421456

Square Root: 138.26062346163494

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

Conjectured list of sociable numbers. A122726

G.f. A(x) satisfies -1/x⁵⁵ = ∑_n=-oo..+oo A(x)ⁿ * xⁿ * (1 - xⁿ)ⁿ⁺¹⁴. A384827

The 28-cycle of the n => σ(n)-n process, where σ(n) is the sum of divisors of n (A000203). A72890

a(n) = (7·2ⁿ - 4(-1)ⁿ)/3. A83595

a(n) = a(n-1)+a(n-2)+a(n-3)+4·n²-16·n+18 with a(0)=0, a(1)=0 and a(2)=1. A180669

Triangle read by rows: T(n,k) = number of noncrossing path sets on n nodes up to rotation and reflection with k paths and isolated vertices allowed. A303868

Conjectured list of numbers which are perfect, amicable, or sociable. A347770

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192966

Largest integer that cannot be represented as x1² + ... + xk², where k >= 1, n <= x1 < ... < xk, and 1/x1 + ... + 1/xk = 1. A297896

Numbers k such that the squarefree part of k equals A062799(k). A69551