Properties of the Number 10528

Ten Thousand Five Hundred Twenty-Eight

Basics

Value: 10527 → 10528 → 10529

Parity: even

Prime: No

Previous Prime: 10513

Next Prime: 10529

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 7 × 47

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 47

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100100000

Octal: 24440

Duodecimal: 6114

Hexadecimal: 2920

Square: 110838784

Square Root: 102.60604270704528

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

Numbers k such that σ(k) = σ(k+12). A15882

Denominators of the Engel partial sums for L(3, chi3), where L(s, chi3) is the Dirichlet L-function for the non-principal character modulo 3. A129661

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250942

Numbers k such that φ(x) = k has exactly 12 solutions. A60675

Coefficients of the v=1 member of a family of certain orthogonal polynomials. A129065

Number of different bracelets with 6 beads of at most n colors, allowing turning over. A27670

Smallest number that is the largest value in the Collatz (3x + 1) trajectories of exactly n initial values. (a(n)=0 if no such number exists.) A233293

Numbers n such that σ(n+σ(n)) = 4*σ(n). A246911

Maximal term in Collatz-iteration started at 3ⁿ+1. A87972

Square array T(n,k): row n lists the number of inequivalent matrices over Z/nZ, modulo permutations of rows and columns, of size r X c, 1 <= r <= c, c >= 1. A353585