Properties of the Number 83097

Eighty-Three Thousand Ninety-Seven

Basics

Value: 83096 → 83097 → 83098

Parity: odd

Prime: No

Previous Prime: 83093

Next Prime: 83101

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 1319

Divisors: 1, 3, 7, 9, 21, 63, 1319, 3957, 9233, 11871

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010010011001

Octal: 242231

Duodecimal: 40109

Hexadecimal: 14499

Square: 6905111409

Square Root: 288.26550261867965

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

Riordan numbers: a(n) = (n-1)*(2·a(n-1) + 3·a(n-2))/(n+1). A5043

a(n) = ∑_k=0..n C(n-k,3k). A3522

Expansion of (sqrt(1+3·x) + sqrt(1-x))/(2·sqrt(1-x)). A99323

Expansion of x/(1 - 2·x² - x³ + x⁴). A122514

First column of A174295. A174297

a(n) = [xⁿ] (1 - 2·x - sqrt((1 - 3·x)/(1 + x)))/(2·x³). A342912

Bisection of A005043. A99252

sec(exp(x)-cos(x))=1+1/2!*x²+6/3!*x³+21/4!*x⁴+120/5!*x⁵... A13320

Triangle read by rows: T(n,k) is the number of paths in the first quadrant from (0,0) to (n,0), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0), having k doublerises (i.e., UU's) (0 <= k <= floor(n/2) - 1 for n >= 2). A132279

Two-Catalan Triangle read by rows, for n>=0 and k>=0. A380912