Properties of the Number 36761

Thirty-Six Thousand Seven Hundred Sixty-One

Basics

Value: 36760 → 36761 → 36762

Parity: odd

Prime: Yes

Previous Prime: 36749

Next Prime: 36767

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 36761

Divisors: 1, 36761

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111110011001

Octal: 107631

Duodecimal: 19335

Hexadecimal: 8f99

Square: 1351371121

Square Root: 191.73158320944412

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

Site percolation series for square lattice. A6731

McKay-Thompson series of class 20F for Monster. A58555

Larger of emirp pairs that are merely reversals of their end digits. A263242

G.f. satisfies A(x) = 1 + x·A(x)²/(1 - x³*A(x)⁴). A365247

Irregular triangle read by rows: T(n,k) is the number of polysticks of size k, i.e., connected subsets of k edges, of the n X n flat torus, up to cyclic shifts and reflections of rows and columns, as well as interchange of rows and columns; 1 <= k <= 2·n². A385390

Expansion of (η(q⁴) * η(q⁵) / (η(q) * η(q²⁰)))² in powers of q. A298107

Number of (1+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252533

Expansion of 1/q * χ(q) * χ(q⁵) * χ(-q²⁰)² / χ(-q)² in powers of q where χ() is a Ramanujan θ function. A298116

a(n) = [xⁿ] exp(∑_k>=1 (-1)^k*x^k/(k*(1 - x^k)ⁿ)). A305255

T(n,k)=Number of (n+3)X(k+3) binary arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A188105