Properties of the Number 30728

Thirty Thousand Seven Hundred Twenty-Eight

Basics

Value: 30727 → 30728 → 30729

Parity: even

Prime: No

Previous Prime: 30727

Next Prime: 30757

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 23 × 167

Divisors: 1, 2, 4, 8, 23, 46, 92, 167, 184, 334

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000001000

Octal: 74010

Duodecimal: 15948

Hexadecimal: 7808

Square: 944209984

Square Root: 175.29403868928344

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 n such that Bernoulli number B_n has denominator 1410. A272369

Let v = list of denominators of Farey series of order n (see A006843); a(n) = sum of products of adjacent terms of v. A278046

Numbers whose square root in base 10 starts with 10 distinct digits. A113507

Number of ways to choose 3 points that form an equilateral triangle from the A000292(n) points in a regular tetrahedral grid of side length n. A334581

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 201", based on the 5-celled von Neumann neighborhood. A286670

a(n) = σ[k](n) - φ(n)^k - d(n)^k for k=3. A79539

Solution of the complementary equation a(n) = 3·a(n-2) + b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A295139

a(n) = A045820(n)/2. A45822

Integers k such that for all m>k, d(m)/m < d(k)/k where d(j) = Min_{p & q odd primes, 2·j = p+q, p <= q} (q-p)/2. A335297

Number of nX(n+3) arrays of permutations of n+3 copies of 0..n-1 with every element equal to or 1 greater than any north, west or northwest neighbors modulo n and the upper left element equal to 0. A267403