Properties of the Number 37886

Thirty-Seven Thousand Eight Hundred Eighty-Six

Basics

Value: 37885 → 37886 → 37887

Parity: even

Prime: No

Previous Prime: 37879

Next Prime: 37889

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 19 × 997

Divisors: 1, 2, 19, 38, 997, 1994, 18943, 37886

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111111110

Octal: 111776

Duodecimal: 19B12

Hexadecimal: 93fe

Square: 1435348996

Square Root: 194.64326343338985

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 T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238555

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=4·floor(n/2), read by rows. A238557

Number of multisets of intervals whose multiset union is of size n and covers an initial interval of positive integers. A356937

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n A_k*(x-2)^k. A246797

a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*9ⁱ} is the base 9 representation of n and e(i) are the digits d(i) in nondecreasing order. A37886

Number of (n+2)X8 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals. A202433