Properties of the Number 19557

Nineteen Thousand Five Hundred Fifty-Seven

Basics

Value: 19556 → 19557 → 19558

Parity: odd

Prime: No

Previous Prime: 19553

Next Prime: 19559

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 41 × 53

Divisors: 1, 3, 9, 41, 53, 123, 159, 369, 477, 2173

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110001100101

Octal: 46145

Duodecimal: B399

Hexadecimal: 4c65

Square: 382476249

Square Root: 139.84634424968

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 such that the least part occurs exactly four times. A97092

Number of 3 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing. A223950

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 694", based on the 5-celled von Neumann neighborhood. A273411

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence). A25095

Coordination sequence for G₂ lattice. A19557

Triangle of coefficients in expansion of elliptic function sn(u) in powers of u and k. A60628

1 + ∑_{n >= 1} ∑_{k = 0..n-1} (-1)ⁿ*T(n,k)*y^2·k*x^2·n/(2·n)! = JacobiCN(x,y). A60627

Numerators of coefficients of zⁿ/n! for the expansion of Fricke's hypergeometric function F₁(1/2,1/2;z). A274653

a(n) is the concatenation of the initial digit of A247476(k) for k = A309063(n)..A309063(n+1)-1. A309072

a(n) = ∑_k=0..n 3^{n - k}*Pochhammer(k/3, n - k). Row sums of A371077. A371079