Properties of the Number 19946

Nineteen Thousand Nine Hundred Forty-Six

Basics

Value: 19945 → 19946 → 19947

Parity: even

Prime: No

Previous Prime: 19937

Next Prime: 19949

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 9973

Divisors: 1, 2, 9973, 19946

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111101010

Octal: 46752

Duodecimal: B662

Hexadecimal: 4dea

Square: 397842916

Square Root: 141.23030836190935

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

Numbers that are the sum of 11 positive 8th powers. A3389

Expansion of ∏_k>0 theta₃(q^k), where theta₃() is the Jacobi θ function. A320067

Integer part of Gauss's Arithmetic-Geometric Mean M(2,n⁵). A127766

a(1) = 2. a(n) is smallest integer > a(n-1) which is a multiple of the largest prime <= a(n-1). A113118

Triangle read by rows. Let g(n) = n if n is a prime, otherwise g(n) = 1. Let p(0) = 1, p(n) = g(n)*p(n-1). Row n gives coefficients of ∏_j=0..n (x - p(j)), with row 0 = {1}. A118686

McKay-Thompson series of class 18E for the Monster group with a(0) = 3. A128517

a(n) is the number of cubic polynomials with coefficients in {-n, ..., n}, positive leading coefficient, and having three rational roots. A392944

McKay-Thompson series of class 18E for Monster. A58535

a(1) = 2; for n>1, a(n) is the smallest integer > a(n-1) such that all primes <= a(n-1) divide at least one integer k for a(n-1) < k <= a(n). A113117

G.f. A(x) satisfies: 1 = ∑_n>=0 (A(x)ⁿ - x)ⁿ. A305136