Properties of the Number 2730

Two Thousand Seven Hundred Thirty

Basics

Value: 2729 → 2730 → 2731

Parity: even

Prime: No

Previous Prime: 2729

Next Prime: 2731

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 13

Divisors: 1, 2, 3, 5, 6, 7, 10, 13, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101010

Octal: 5252

Duodecimal: 16B6

Hexadecimal: aaa

Square: 7452900

Square Root: 52.24940191045253

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) is the number of distinct reduced words of length n in the Coxeter group of "Apollonian reflections" in three dimensions. A154638

Denominator of Bernoulli number B_n. A27642

The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑_{k in I} 2^k. A19565

a(2n) = 2·a(2n-1), a(2n+1) = 2·a(2n)+1 (also a(n) is the n-th number without consecutive equal binary digits). A975

Numbers of the form 2^n-1*(2^n·m-1)/(2ⁿ-1), n >= 1, m >= 1. A272919

Denominators of Bernoulli numbers B_2n. A2445

Expansion of (1 - x)/((1 + x)*(1 - 2·x)). A78008

a(n) = n*(n-1)*(n-2) (or n!/(n-3)!). A7531

Balanced numbers: numbers k such that φ(k) (A000010) divides σ(k) (A000203). A20492

a(n) = (2/3)*(4ⁿ-1). A20988