Properties of the Number 2728

Two Thousand Seven Hundred Twenty-Eight

Basics

Value: 2727 → 2728 → 2729

Parity: even

Prime: No

Previous Prime: 2719

Next Prime: 2729

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 11 × 31

Divisors: 1, 2, 4, 8, 11, 22, 31, 44, 62, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101000

Octal: 5250

Duodecimal: 16B4

Hexadecimal: aa8

Square: 7441984

Square Root: 52.230259428802384

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 with distinct parts p(i) such that if i ≠ j, then |p(i) - p(j)| >= 3. A25157

Kaprekar numbers: positive numbers n such that n = q+r and n² = q·10^m+r, for some m >= 1, q >= 0 and 0 <= r < 10^m, with n ≠ 10^a, a >= 1. A6886

a(n) = n concatenated with n + 1. A1704

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

a(n) = n*(n + 18). A98850

Fibonacci sequence beginning 2, 6. A22112

a(n) = abs(A154879(n+1)). A115341

a(n) = Product{k>=0} (1 + floor(n/3^k)). A132327

Numbers with exactly 2 odd integers in their Collatz (or 3x+1) trajectory. A62052

Number of ways to place 4 nonattacking bishops on an n X n board. A172127