Properties of the Number 16324

Sixteen Thousand Three Hundred Twenty-Four

Basics

Value: 16323 → 16324 → 16325

Parity: even

Prime: No

Previous Prime: 16319

Next Prime: 16333

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 11 × 53

Divisors: 1, 2, 4, 7, 11, 14, 22, 28, 44, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11111111000100

Octal: 37704

Duodecimal: 9544

Hexadecimal: 3fc4

Square: 266472976

Square Root: 127.7654100294755

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

a(n) = ∑_{d >= 1, d divides n} (-1)^n-d*d³. A8457

a(n) = ∑_d∣n (-1)^d-1*d³. A138503

Number of compositions of n with distinct circular differences. A325551

Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n). A88003

Matrix inverse square-root of triangle A105615. A105620

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 305", based on the 5-celled von Neumann neighborhood. A280975

a(n) = ∑_j=1..n ∑_k=1..n τ(j·k). A372674

a(n) = n*(n+1)*(5·n+1)/3. A174814

∏_{d∣n, d>1} prime(A003415(d)), where A003415(x) gives the arithmetic derivative of x. A327930

Number of n X 3 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224141