Properties of the Number 19544

Nineteen Thousand Five Hundred Forty-Four

Basics

Value: 19543 → 19544 → 19545

Parity: even

Prime: No

Previous Prime: 19543

Next Prime: 19553

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 7 × 349

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 349, 698

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110001011000

Octal: 46130

Duodecimal: B388

Hexadecimal: 4c58

Square: 381967936

Square Root: 139.79985693841036

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 partitions of n with nonnegative crank. A64428

Number of 7's in all partitions of n. A24791

Number of degree-n irreducible polynomials over GF(7); dimensions of free Lie algebras. A1693

a(n) = 25·n² - 2·n. A154376

Number of (undirected) paths in the prism graph Y_n. A287992

Number of Lyndon words (aperiodic necklaces) with 6 beads of n colors. A292350

Expansion of e.g.f exp(log(1+x)+2·log(1+x)²). A189424

(A192533)/2. A192534

Number of monic irreducible polynomials of degree 6 over GF(prime(n)). A253655

Least k such that 1/τ(k) + 1/τ(k+1) + 1/τ(k+2) + ... + 1/τ(k+n) is equal to 1 (where τ(k)=A000005(k) is the number of divisors of k). A73545