Properties of the Number 51409

Fifty-One Thousand Four Hundred Nine

Basics

Value: 51408 → 51409 → 51410

Parity: odd

Prime: No

Previous Prime: 51407

Next Prime: 51413

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 101 × 509

Divisors: 1, 101, 509, 51409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100011010001

Octal: 144321

Duodecimal: 25901

Hexadecimal: c8d1

Square: 2642885281

Square Root: 226.73552875542023

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(0) = 1, a(1) = 5, a(n) = 4·a(n-1) - a(n-2). A1834

a(2·n) = a(2·n-1) + a(2·n-2), a(2·n+1) = 2·a(2·n) + a(2·n-1); a(0) = a(1) = 1. A2531

Limit of the sequence obtained from S(0) = (1,1) and, for n > 0, S(n) = I(S(n-1)), where I consists of inserting, for i = 1, 2, 3..., the term a(i) + a(i+1) between any two terms for which 7·a(i+1) <= 11·a(i). A82630

a(n) = 4·a(n-2) - 4·a(n-4) + 25·a(n-6). A107248

Expansion of (1 + x + x²)/(1 - 4x² + x⁴). A108412

Numerators of the lower principal convergents and the lower intermediate convergents to 3^1/2. A143643

Number of Khalimsky-continuous functions with a three-point codomain. A131887

Numerators of principal and intermediate convergents to 3^1/2. A143642

Numerators of fractions xⁿ + yⁿ, where x + y = 1 and x² + y² = 2. A173299

Composite numbers n such that every divisor of n greater than one contains the digit 0. A243819