Properties of the Number 19830

Nineteen Thousand Eight Hundred Thirty

Basics

Value: 19829 → 19830 → 19831

Parity: even

Prime: No

Previous Prime: 19819

Next Prime: 19841

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 661

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 661, 1322

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110101110110

Octal: 46566

Duodecimal: B586

Hexadecimal: 4d76

Square: 393228900

Square Root: 140.8190328045183

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

Number of rooted bicolored trees on n nodes such that black nodes are not adjacent to each other. A339831

Partial sums of A253088. A255048

Number of partitions of n into 5-smooth parts. A112581

Number of nondecreasing integer sequences of length 6 with sum zero and sum of absolute values 2n. A158140

a(n) = (d(n)-r(n))/2, where d = A026046 and r is the periodic sequence with fundamental period (0,1,0,1). A26047

Doubly octagonal pyramidal numbers. A329757

Decimal expansion of sine of 21 degrees. A19830

Number of (n+1)X(n+1) -7..7 symmetric matrices with every 2X2 subblock having sum zero and two or three distinct values. A211444

Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s. A297586

G.f. A(x) satisfies [xⁿ] A(x)ⁿ = [xⁿ] -1/A(x)ⁿ⁺¹ for n > 1 with A(0) = 1, A'(0) = 1. A383556