Properties of the Number 97094

Ninety-Seven Thousand Ninety-Four

Basics

Value: 97093 → 97094 → 97095

Parity: even

Prime: No

Previous Prime: 97081

Next Prime: 97103

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 43 × 1129

Divisors: 1, 2, 43, 86, 1129, 2258, 48547, 97094

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101101000110

Octal: 275506

Duodecimal: 48232

Hexadecimal: 17b46

Square: 9427244836

Square Root: 311.5991014107711

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

Triangle T, read by rows, where column k of T = column 0 of T^k+1 for k>0, with column 0 of T = column 0 of T³ shift right. A135902

Denominators of continued fraction convergents to sqrt(559). A42071

Column 0 of triangle A135902; also equals column 2 of triangle A135902 (shift right). A135903

a(n) is the number of odd primes of the form b^2ⁿ+1 that are less than A123599(n+1). A259835

Numbers n such that determinant[{{n,φ(n)},{n+1,φ(n+1)}}]is a perfect square. A67571

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (1, -1, 0), (1, 1, -1), (1, 1, 0)}. A149482

Triangle, read by rows, where the self-convolution of the antidiagonal sums (A097097) equals the row sums (A097096); the row sums also equals the convolution of the main diagonal (A097095) with the Fibonacci sequence (A000045). A97094

Expansion of 1/q(x) where q(x) = x¹¹*p(x+1/x) and p(x)= -2 -167·x +1694·x² -6069·x³ +11210·x⁴ -12297·x⁵ +8554·x⁶ -3875·x⁷ +1140·x⁸ -210·x⁹ +22·x¹⁰ - x¹¹. A143479