Properties of the Number 36706

Thirty-Six Thousand Seven Hundred Six

Basics

Value: 36705 → 36706 → 36707

Parity: even

Prime: No

Previous Prime: 36697

Next Prime: 36709

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 18353

Divisors: 1, 2, 18353, 36706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111101100010

Octal: 107542

Duodecimal: 192AA

Hexadecimal: 8f62

Square: 1347330436

Square Root: 191.58809983921236

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

Expansion of ∑_n>=0 (qⁿ / ∏_k=1..n+5 (1 - q^k)). A35301

Table of the elementary symmetric functions a_k(1,3,4,...,n+1). A196841

Triangle read by rows: coefficients of polynomials p(k) = (-x + k + 1)*p(k-1), starting p(0)=1, p(1)=1-x. A123319

G.f. A(x) defined by: A(x)⁵ consists entirely of integer coefficients between 1 and 5 (A083945); A(x) is the unique power series solution with A(0)=1. A84205

Becomes prime after exactly 8 iterations of f(x) = sum of prime factors of x. A47827

Number of n X n arrays of squares of integers with every (n-2)X(n-2) subblock summing to 10 and every element equal to at least one neighbor. A146346

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 793", based on the 5-celled von Neumann neighborhood. A273566

a(n)=number of Gaussian integers z=a+bi satisfying n - 1/2 < |z| <= n + 1/2, a>0, b>=0. A36706