Properties of the Number -15724

Fifteen Thousand Seven Hundred Twenty-Four

Basics

Value: -15725 → -15724 → -15723

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 3931

Divisors: 1, 2, 4, 3931, 7862, 15724

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11110101101100

Octal: -36554

Duodecimal: -9124

Hexadecimal: -3d6c

Square: 247244176

Square Root: 125.39537471533788

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) = ∑_{k=0..floor(n/5)} (-1)^k * binomial(n-4·k,k) * Catalan(k). A360027

T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..3 n X k array. A220761

T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it. A209019

Minimal exponents m such that the fractional part of (π-2)^m obtains a maximum (when starting with m=1). A153719

Numbers k such that the fractional part of (π-2)^k is greater than 1-(1/k). A153720

Number of ways to write n as an ordered sum of 8 prime powers (including 1). A341137

Number of colored integer partitions of n such that four colors are used and parts differ by size or by color. A327382

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4. A209988

Expansion of ∏_k>=1 (∏_j=1..k 1/(1 - x^k·j)^k·j). A327068

a(n)/A002939(n+1) is the Kirchhoff index of the join of the disjoint union of two complete graphs on n vertices with the empty graph on n+1 vertices. A338109