Properties of the Number 7528

Seven Thousand Five Hundred Twenty-Eight

Basics

Value: 7527 → 7528 → 7529

Parity: even

Prime: No

Previous Prime: 7523

Next Prime: 7529

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 941

Divisors: 1, 2, 4, 8, 941, 1882, 3764, 7528

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101101000

Octal: 16550

Duodecimal: 4434

Hexadecimal: 1d68

Square: 56670784

Square Root: 86.76404785393545

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 inequivalent ways of dissecting a regular (n+2)-gon into n triangles by n-1 non-intersecting diagonals under rotations and reflections; also the number of (unlabeled) maximal outerplanar graphs on n+2 vertices. A207

Number of edges formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331765

Growth series for affine Coxeter group B₄. A267167

Triangle read by rows: T(n,k) = number of edges in a "frame" of size n X k (see Comments in A331457 for definition). A332600

Triangle read by rows: T(n,m) (n >= m >= 1) = number of line segments formed by drawing the lines connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331454

Expansion of 1/(1 - x² - x³ - x⁴) = 1/((1 + x)*(1 - x - x³)). A13979

Inverse Moebius transform of the shifted tetrahedral numbers. A116963

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185750

Integer part of Gauss's Arithmetic-Geometric Mean M(1,n³). A127759

T(n,k) = Number of (n+1) X (k+1) binary arrays with every 2 X 2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2 X 2 subblock traces. A186939