Properties of the Number 16506

Sixteen Thousand Five Hundred Six

Basics

Value: 16505 → 16506 → 16507

Parity: even

Prime: No

Previous Prime: 16493

Next Prime: 16519

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 131

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100000001111010

Octal: 40172

Duodecimal: 9676

Hexadecimal: 407a

Square: 272448036

Square Root: 128.47567863218313

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 A(n,k) of lattice paths without interior points from {n}^k to {0}^k using steps that decrement one component by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A225094

Record (maximal) gaps between prime triples (p, p+4, p+6). A201596

a(n) = ∑_k=1..n floor(n/k)³. A318742

T(n,k)=Number of nXk binary arrays with each element equal to either the sum mod 2 of its horizontal and vertical neighbors or the sum mod 2 of its diagonal and antidiagonal neighbors. A183517

Indices of primes in A001644 (the Lucas 3-step numbers). A104576

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 2. A241647

Expansion of r(q)³ / r(q³) in powers of q where r() is the Rogers-Ramanujan continued fraction. A285628

Minimal k > n such that (4·k+3·n) * (4·n+3·k) is a square. A83752

Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant = 0 (mod 3). A211033

a(n) = number of lattice paths from (0,0,0) to (n,n,n) along the cracks on the surface of a Rubik-ized n X n X n cube so that no step increases distance from goal. A60774