Properties of the Number 6023

Six Thousand Twenty-Three

Basics

Value: 6022 → 6023 → 6024

Parity: odd

Prime: No

Previous Prime: 6011

Next Prime: 6029

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 19 × 317

Divisors: 1, 19, 317, 6023

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110000111

Octal: 13607

Duodecimal: 359B

Hexadecimal: 1787

Square: 36276529

Square Root: 77.60798927945498

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293765

Number of n-regular, N₀-weighted pseudographs on 2 vertices with total edge weight 8, up to isomorphism. A358248

Triangle of coefficients of Gaussian polynomials [2n+5,4]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=4n+2. A267484

Record numbers of factorizations into distinct factors > 1. A331232

Magnetic Tower of Hanoi, total number of moves, optimally solving the [NEUTRAL ; NEUTRAL ; NEUTRAL] pre-colored puzzle. A183118

a(1) = 2, and for n>1: a(n) = prime(A251719(n)) * prime(A251719(n) + n - 2), where prime(n) gives the n-th prime. A251724

The number of vertices inside a cross with width 3 and height n (see Comments in A331455 for definition) formed by the straight line segments mutually connecting all vertices and all points. A330850

Smallest k>=0 such that (2ⁿ-k)*2ⁿ-1 and (2ⁿ-k)*2ⁿ+1 are a twin prime pair; or -1 if no such k exists. A205322

a(0) = ... = a(3) = 1; a(n) = a(n-4) + ∑_k=0..n-5 a(k) * a(n-k-5). A343305

a(n) = 1 + 2·least i such that A103507(i)=n+1, 0 if no such i exists. A103508