Properties of the Number -5628

Six Hundred Twenty-Eight

Basics

Value: -5629 → -5628 → -5627

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 67

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1010111111100

Octal: -12774

Duodecimal: -3310

Hexadecimal: -15fc

Square: 31674384

Square Root: 75.0199973340442

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

Expansion of g.f. A(x) = ∑_n=-oo..+oo xⁿ * (i + xⁿ)^2·n, where i² = -1. A363569

Expansion of ∏_n>=1 ((1 - (8·x)ⁿ)/(1 + (8·x)ⁿ))^1/8. A303395

Integral form of A137286: Triangle of coefficients of Integral form of recursive orthogonal Hermite polynomials given in Hochstadt's book: n·IP(x, n) = x·P(x, n ) - n·P'(x, n - 2); derived to a constant from the differential recursion: P''(x,n)=x·P'(x,n)-n·P(x,n). A136262

Ooguri-Vafa invariants of disk degeneracies for brane III in the O(K)->P¹ x P¹ geometry. A92698

Triangle of numbers arising in enumeration of walks on cubic lattice. A52179

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1. A113744

Shifts left under transform T where Ta is (identity) DCONV a. A38046

Array read by antidiagonals: T(n,k) is the number of rooted strong triangulations of a disk with n interior nodes and 3+k nodes on the boundary. A341856

a(n) = n*(3·n + 8). A140677

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252523