Properties of the Number 36722

Thirty-Six Thousand Seven Hundred Twenty-Two

Basics

Value: 36721 → 36722 → 36723

Parity: even

Prime: No

Previous Prime: 36721

Next Prime: 36739

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 × 43 × 61

Divisors: 1, 2, 7, 14, 43, 61, 86, 122, 301, 427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111101110010

Octal: 107562

Duodecimal: 19302

Hexadecimal: 8f72

Square: 1348505284

Square Root: 191.62985153675822

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

Number of rooted trees of nonempty sets with n points. (Each node is a set of 1 or more points.) A36249

Number of rooted trees with 2-colored leaves. A29856

a(n) = ∑_k=1..n k² * τ(k)², where τ is A000005. A320897

G.f. satisfies A(x) = 1 + x·cycle_index(Sym(6), A(x)). A36722

Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259003