Properties of the Number 10828

Ten Thousand Eight Hundred Twenty-Eight

Basics

Value: 10827 → 10828 → 10829

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 2707

Divisors: 1, 2, 4, 2707, 5414, 10828

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001001100

Octal: 25114

Duodecimal: 6324

Hexadecimal: 2a4c

Square: 117245584

Square Root: 104.05767631462851

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

a(n) = ∑_{k <= n/2} binomial(n-2k, 3k). A137356

a(n) = a(n-3) + a(n-5) with initial values 1,0,0,1,0. A52920

Number of compositions of 5·n into parts 3 and 5. A369845

Number of chess games that end in checkmate after exactly n plies. A79485

5-untouchable numbers. A284187

a(n) = ∑_{k=0..floor(2·n/5)} binomial(2·n-2·k,3·k). A392401

a(n) = ∑_{k=0..floor(2·n/3)} binomial(2·k,2·n-3·k). A392428

a(n) = Sum_k k·A333275(n,k). A333277

Number of sets of positive integers <= n² whose sum is (n³ + n)/2. A7785

a(n) = 11 + floor(∑_j-1..n-1 a(j)/4). A120168