Properties of the Number 83121

Eighty-Three Thousand One Hundred Twenty-One

Basics

Value: 83120 → 83121 → 83122

Parity: odd

Prime: No

Previous Prime: 83117

Next Prime: 83137

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 103 × 269

Divisors: 1, 3, 103, 269, 309, 807, 27707, 83121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010110001

Octal: 242261

Duodecimal: 40129

Hexadecimal: 144b1

Square: 6909100641

Square Root: 288.3071279035605

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

Numbers k such that 7^k + 6^k-1 is prime. A96185

1-Euler triangle. A188587

Number of 4Xn arrays containing n copies of 0..4-1 with every element equal to or 1 greater than any north, west or northwest neighbors modulo 4 and the upper left element equal to 0. A267405

Numbers k such that k | sigma₂(k) + sigma₁(k) + sigma₀(k). A57852

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, west or northwest neighbors modulo n and the upper left element equal to 0. A267401

Indices n of Riemann ζ zeros for successive records of the normalized δ defined as d(n) = (z(n+1)-z(n))*(log(z(n)/(2Pi))/(2Pi)) where z(n) is the imaginary part of the n-th Riemann zero. A329742

Bases of the squares arising in A083119. A83121

E.g.f. A(x) satisfies A'(x) = exp( A(x)*A'(x)³ ). A392208

a(n) = n⁹*(n² + 1)/2. A170784

Number of -4..4 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having one, two or three distinct values for every i<=n and j<=n. A211690