Properties of the Number 1828

One Thousand Eight Hundred Twenty-Eight

Basics

Value: 1827 → 1828 → 1829

Parity: even

Prime: No

Previous Prime: 1823

Next Prime: 1831

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 457

Divisors: 1, 2, 4, 457, 914, 1828

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100100100

Octal: 3444

Duodecimal: 1084

Hexadecimal: 724

Square: 3341584

Square Root: 42.7551166528639

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 partitions of n into divisors of n. A18818

Number of binary partitions: number of partitions of 2n into powers of 2. A123

Write 1,2,... in a clockwise spiral; sequence gives numbers on positive·axis. A33951

Meandric numbers: number of ways a river can cross a road n times. A5316

Number of partitions of 2ⁿ into powers of 2. A2577

Number of numerical semigroups with Frobenius number n; that is, numerical semigroups for which the largest integer not belonging to them is n. A124506

Closed meandric numbers (or meanders): number of ways a loop can cross a road 2n times. A5315

a(n) = ∑_k=0..n 3^wt(k), where wt() = A000120(). A130665

a(n) = 2·a(n-1) - 2·a(n-3) + a(n-4) for n > 3, with initial terms 1, 1, 4, 8. A267682

Infinite lower triangular matrix, M, that satisfies [M²](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78121