Properties of the Number 52821

Fifty-Two Thousand Eight Hundred Twenty-One

Basics

Value: 52820 → 52821 → 52822

Parity: odd

Prime: No

Previous Prime: 52817

Next Prime: 52837

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5869

Divisors: 1, 3, 9, 5869, 17607, 52821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100111001010101

Octal: 147125

Duodecimal: 26699

Hexadecimal: ce55

Square: 2790058041

Square Root: 229.82819670353766

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 nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically. A208369

a(n) is the index of the first occurrence of n in A371091. A372559

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically. A208367

Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically. A208370

Number of cycles the reduced complex Collatz function using 1 + (2n-1)i takes to hit 1 + i, or 0 if this never happens. A224067

A simple grammar: pairs of cycles of sequences. A52821