Properties of the Number 18828

Eighteen Thousand Eight Hundred Twenty-Eight

Basics

Value: 18827 → 18828 → 18829

Parity: even

Prime: No

Previous Prime: 18803

Next Prime: 18839

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 523

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100110001100

Octal: 44614

Duodecimal: AA90

Hexadecimal: 498c

Square: 354493584

Square Root: 137.21515951235125

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

Numbers that are the sum of 5 positive 7th powers. A3372

Initial members of abundant quadruplets, i.e., values of k such that (k, k+2, k+4, k+6) are all abundant numbers. A231089

Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct nonnegative integers chosen from the range 0..n. A97401

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, without move-in move-out left turns. A221773

Number of fibered rational knots with n crossings. A51449

Coefficients in q-expansion of (E₂*E₄ - E₆)²/518400, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A281371

Expansion of cos(log(1+x))/cosh(x). A9026

Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13. A19450

Numerator of Hermite(n, 3/23). A159865

Potential magic constants of a 10 X 10 magic square composed of consecutive primes. A192087