Properties of the Number 97536

Ninety-Seven Thousand Five Hundred Thirty-Six

Basics

Value: 97535 → 97536 → 97537

Parity: even

Prime: No

Previous Prime: 97523

Next Prime: 97547

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁸ × 3 × 127

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10111110100000000

Octal: 276400

Duodecimal: 48540

Hexadecimal: 17d00

Square: 9513271296

Square Root: 312.3075407350902

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 m such that the equation m = k*σ(k) has more than one solution. A337873

Integers that can be written m = k*σ(k) = q*σ(q) where (k, q) is a primitive solution of this equation and σ(m) is the sum of divisors of (m). A337875

Smaller member of a noninfinitary amicable pair: numbers (k, m) such that nisigma(k) = m and nisigma(m) = k, where nisigma(k) is the sum of the noninfinitary divisors of k (A348271). A348343

Pisot sequence E(3,17), a(n) = floor( a(n-1)²/a(n-2)+1/2 ). A10913

Expansion of φ(x)² / φ(-x²) in powers of·where φ() is a Ramanujan θ function. A260314

Expansion of exp(tan(x))/exp(x). A9246

Expansion of exp(tanh(x))/exp(x). A9266

arctan(tanh(x)+tan(x))=2·x-16/3!*x³+800/5!*x⁵-97536/7!*x⁷... A13137

-∑_k=1..2·q-1 J(k,q)*J(-4,k)*k/4 as q runs through numbers == 3 (mod 4), where J(i,j) is the Jacobi symbol. A97536

Number of 4Xn 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A231052