Properties of the Number 9884

Nine Thousand Eight Hundred Eighty-Four

Basics

Value: 9883 → 9884 → 9885

Parity: even

Prime: No

Previous Prime: 9883

Next Prime: 9887

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 353

Divisors: 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010011100

Octal: 23234

Duodecimal: 5878

Hexadecimal: 269c

Square: 97693456

Square Root: 99.41830817309254

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

Triangle U, read by rows, where column k of U^j+1 = column j of P^3k+1 for j>=0, k>=0 and P=A136220. A136228

T(n,k)=1/4 the number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189951

T(n,k)=Number of arrays of n+2 integers in -k..k with sum zero and adjacent elements differing in absolute value. A202962

Inverse Moebius transform of the shifted tetrahedral numbers. A116963

Numbers k such that the number of digits d in k² is not prime and for each factor f of d the sum of the d/f digit groupings in k² of size f is a square. A153745

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238081

Numbers k such that k and k+1 are both lazy-Pell-Niven numbers (A352342). A352343

Partial sums of A363031. A363161

Maximum starting value of X such that repeated replacement of X with X-ceiling(X/6) requires n steps to reach 0. A279076

Triangle T(n, k) read by rows: row n gives the coefficients of the row polynomials of the (n+1)-th diagonal sequence of the Sheffer triangle A094816 (special Poisson-Charlier). A290311