Properties of the Number 6019

Six Thousand Nineteen

Basics

Value: 6018 → 6019 → 6020

Parity: odd

Prime: No

Previous Prime: 6011

Next Prime: 6029

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13 × 463

Divisors: 1, 13, 463, 6019

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011110000011

Octal: 13603

Duodecimal: 3597

Hexadecimal: 1783

Square: 36228361

Square Root: 77.58221445666526

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) = (4·n³ - 6·n² + 8·n + 3)/3. A161712

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252615

T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A232281

Indices of records in A338338. A338349

Partial sums of floor(n²/8). A122046

Integers n >= 1 such that n divides 0!-1!+2!-3!+4!-...+(-1)^n-1(n-1)!. A64383

Numbers k such that there are exactly 8 numbers j for which binomial(k, floor(k/2)) / binomial(k,j) is an integer, i.e., A080383(k) = 8. A80386

Records in A014197. A131934

f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices. A11826

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁷)). A288342