Properties of the Number 16576

Sixteen Thousand Five Hundred Seventy-Six

Basics

Value: 16575 → 16576 → 16577

Parity: even

Prime: No

Previous Prime: 16573

Next Prime: 16603

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 7 × 37

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000011000000

Octal: 40300

Duodecimal: 9714

Hexadecimal: 40c0

Square: 274763776

Square Root: 128.74781551544865

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 binary pattern classes in the (2,n)-rectangular grid: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225826

Square array read by antidiagonals: a(m,n) is the number of binary pattern classes in the (m,n)-rectangular grid, two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225910

Number of ways of writing n as a sum of 7 squares. A8451

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A286781

a(n) = n²*(n²+3)/4. A39623

Number of strings of length n over GF(4) with trace 0 and subtrace 0. A73995

Number of strings of length n over GF(4) with trace 1 and subtrace 0. A73997

Number of binary pattern classes in the (4,n)-rectangular grid: two patterns are in the same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225828

Number of inequivalent 4 X 4 matrices with entries in {1,2,3,...,n} up to vertical and horizontal reflections. A283028

Triangular matrix T, read by rows, that satisfies: T = D + SHIFT_LEFT(T²) where SHIFT_LEFT shifts each row 1 place to the left and D is the diagonal matrix {1, 2, 3, ...}. A107667