Properties of the Number 16844

Sixteen Thousand Eight Hundred Forty-Four

Basics

Value: 16843 → 16844 → 16845

Parity: even

Prime: No

Previous Prime: 16843

Next Prime: 16871

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 4211

Divisors: 1, 2, 4, 4211, 8422, 16844

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000111001100

Octal: 40714

Duodecimal: 98B8

Hexadecimal: 41cc

Square: 283720336

Square Root: 129.78443666326098

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 divisors of n! with equal prime multiplicities. A336415

Triangle read by rows: counts permutations by number of big descents. A120434

Triangle T, read by rows, where column k of T = column 0 of matrix power T^k+1 for k>0, with column 0 of T = unsigned column 0 of T^-1 (shifted). A152400

Column 3 of triangle A152400. A152403

Expansion of ∏_k>=1 ((1 + x^k²) / (1 - x^k²))^k². A291666

Triangle T(n,k), read by rows, given by (0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) δ (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...), where δ is the operator defined in A084938. A199335

Numbers k such that 177·2^k+1 is prime. A32465

Number of compositions (ordered partitions) of n into at most 6 prime powers (including 1). A347776

G.f. A(x) satisfies A(x) = ( 1 + x / (1 - x·A(x)) )⁴. A378732

Number of partitions of n with equal nonzero number of parts congruent to each of 0, 3 and 4 (mod 5). A35587