Properties of the Number 37892

Thirty-Seven Thousand Eight Hundred Ninety-Two

Basics

Value: 37891 → 37892 → 37893

Parity: even

Prime: No

Previous Prime: 37889

Next Prime: 37897

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 9473

Divisors: 1, 2, 4, 9473, 18946, 37892

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010000000100

Octal: 112004

Duodecimal: 19B18

Hexadecimal: 9404

Square: 1435803664

Square Root: 194.65867563507155

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 distinct values produced from sums and products of n unity arguments. A48249

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250707

Indices of records in A194591. A217892

Expansion of (1/x) * Series_Reversion( x / ((1+x)²+x³) ). A369212

Number of (n+1)X(3+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250702

Number of (2+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250709

a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*6ⁱ} is the base 6 representation of n and e(i) are the digits d(i) in reverse order. A37892