Properties of the Number 9892

Nine Thousand Eight Hundred Ninety-Two

Basics

Value: 9891 → 9892 → 9893

Parity: even

Prime: No

Previous Prime: 9887

Next Prime: 9901

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 2473

Divisors: 1, 2, 4, 2473, 4946, 9892

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010100100

Octal: 23244

Duodecimal: 5884

Hexadecimal: 26a4

Square: 97851664

Square Root: 99.45853407325085

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

G.f. A(x) satisfies: [xⁿ⁺¹] A(Fⁿ(x)) = 0 for n>0 where Fⁿ(x) denotes the n-th iteration of F(x) = x+x² with F⁰(x)=x. A187009

T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231785

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237921

Floor of sums of the cubes of the non-integer square roots of n, as partitioned by the integer roots: floor(∑_{j=n²+1..(n+1)²-1} j^3/2). A247112

Trajectory of initial value 89 under iterations of the map A352544: half if even, add largest anagram if odd. A352542

a(n) is the number of distinct solution sets to the quadratic equations u·x² + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant. A379597

Number T(n,k) of X-rays of n X n binary matrices with exactly k ones; triangle T(n,k), n>=0, 0<=k<=n², read by rows. A290057

Number of X-rays of n X n binary matrices with exactly floor(n²/2) ones. A290058

Subtract n from partial sums of partial sums of Catalan numbers. A294790

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones. A31820