Properties of the Number 19938

Nineteen Thousand Nine Hundred Thirty-Eight

Basics

Value: 19937 → 19938 → 19939

Parity: even

Prime: No

Previous Prime: 19937

Next Prime: 19949

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 3323

Divisors: 1, 2, 3, 6, 3323, 6646, 9969, 19938

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111100010

Octal: 46742

Duodecimal: B656

Hexadecimal: 4de2

Square: 397523844

Square Root: 141.20198298890847

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 subset-sums of integer partitions of n. A304792

Numbers k such that x = 2^k-2 satisfies φ(x)+2 = φ(x+2). A50475

a(n) = coefficient of xⁿ in A(x) such that: A(x)² = A( x²/(1 - 4·x - 4·x²) ). A357547

Conjecturally, the largest k such that prime(n)² is the largest squared prime divisor of binomial(2k,k). A239623

G.f. A(x) satisfies: A(x) = A(x²) / (1 - x - x² - x³). A309702

Number of inequivalent binary linear codes of length n minus 2ⁿ. A250003

Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11. A254950

Number of tilings of an 8 X n rectangle using integer-sided square tiles. A219927

Decimal expansion of tangent of 40 degrees. A19938

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of (B(x)/x)^k, where B(x) is the g.f. of A213591. A384619