Properties of the Number 83542

Eighty-Three Thousand Five Hundred Forty-Two

Basics

Value: 83541 → 83542 → 83543

Parity: even

Prime: No

Previous Prime: 83537

Next Prime: 83557

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 41771

Divisors: 1, 2, 41771, 83542

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011001010110

Octal: 243126

Duodecimal: 4041A

Hexadecimal: 14656

Square: 6979265764

Square Root: 289.0363298964336

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 points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Coordination sequence for root lattice B₂. A22144

Coordination sequence for G₂ lattice. A19557

Square array, read by antidiagonals, where row n equals the coordination sequence of B_n lattice, for n >= 0. A108998

Coordination sequence for C₃ lattice: a(n) = 16·n² + 2 (n>0), a(0)=1. A10006

a(n) = φ(n+1)*φ(n), product of totients of two consecutive integers. A83542

a(0) = 0, a(1) = 1; for n > 1, a(n+1) = (2·n + 1)*a(n) + n⁴*a(n-1). A142999

Coordination sequence for C₄ lattice. A19560

Coordination sequence for C₈ lattice. A19564

Coordination sequence for C₉ lattice. A35746