Properties of the Number 21829

Twenty-One Thousand Eight Hundred Twenty-Nine

Basics

Value: 21828 → 21829 → 21830

Parity: odd

Prime: No

Previous Prime: 21821

Next Prime: 21839

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 83 × 263

Divisors: 1, 83, 263, 21829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101000101

Octal: 52505

Duodecimal: 10771

Hexadecimal: 5545

Square: 476505241

Square Root: 147.74640435557137

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236728

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood. A279810

Expansion of x⁴/((1-2·x)*(x²-x+1)*(x-1)²). A111926

Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236722

Number of (n+1)X(5+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236725

Expansion of 1/((1-x)(1-4x)(1-6x)(1-10x)). A21829

All integers k that can produce a closed walk in an equilateral triangular lattice via noncongruent primitive k-length diagonals, in ascending order. A387031