Properties of the Number 29868

Twenty-Nine Thousand Eight Hundred Sixty-Eight

Basics

Value: 29867 → 29868 → 29869

Parity: even

Prime: No

Previous Prime: 29867

Next Prime: 29873

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 19 × 131

Divisors: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010101100

Octal: 72254

Duodecimal: 15350

Hexadecimal: 74ac

Square: 892097424

Square Root: 172.82360949823956

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

Starting positions of strings of four 6's in the decimal expansion of π. A83626

Expansion of ∏_k>=1 1/((1 - x^k)*(1 - x^3·k)). A318026

Numbers k such that there is a primitive Pythagorean triple with perimeter k and inradius r such that p + r, p - r, p + r² and |p - r²| are all prime. A392988

Starting positions of strings of three 6's in the decimal expansion of π. A83625

Number of nX2 0..1 arrays with exactly floor(nX2/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order. A222322

Numbers n such that n·2²²⁰³ - 1 is prime. A265503

E.g.f. A(x) satisfies: A'(x) = A(x·A'(x)) with A(0)=1. A231619

Number of connected functions on n points with a loop of length 5. A29868

Number of (n+1) X (3+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235293