Properties of the Number 13419

Thirteen Thousand Four Hundred Nineteen

Basics

Value: 13418 → 13419 → 13420

Parity: odd

Prime: No

Previous Prime: 13417

Next Prime: 13421

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 71

Divisors: 1, 3, 7, 9, 21, 27, 63, 71, 189, 213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001101011

Octal: 32153

Duodecimal: 7923

Hexadecimal: 346b

Square: 180069561

Square Root: 115.84040745784694

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+1) = a(n) + a(n-1) + Fibonacci(n), with a(0) = 0 and a(1) = 1. A29907

Low-temperature series in u = exp(-4J/kT) for ferromagnetic susceptibility for the spin-1/2 Ising model on hexagonal lattice. A47709

Number of partitions of n containing no part i of multiplicity i+1. A277099

a(n) = floor( n^e ), e = 2.718281828... A61293

Shallow diagonal sums of A211226. A211228

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+4x+4y>0. A211626

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+5x+5y>0. A211627

The number of vertically balanced self-avoiding walks of length n on the upper half-plane of a 2D square lattice where the nodes and connecting rods have equal mass. A337860

a(n) = ∑_d∣n binomial(d+n,n). A363660

Numbers k such that sopf(k) = sopfr(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k). A64678