Properties of the Number 38020

Thirty-Eight Thousand Twenty

Basics

Value: 38019 → 38020 → 38021

Parity: even

Prime: No

Previous Prime: 38011

Next Prime: 38039

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 1901

Divisors: 1, 2, 4, 5, 10, 20, 1901, 3802, 7604, 9505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001010010000100

Octal: 112204

Duodecimal: 1A004

Hexadecimal: 9484

Square: 1445520400

Square Root: 194.98717906570164

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

T(n,k)=Number of (n+2)X(k+2) binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187940

a(n) = 25·n² - 5. A158446

E.g.f. satisfies: A(x) = (1 + x·A(x)²)^A(x). A162863

a(n) = number of solutions to the Diophantine equation x+y²+z³=n⁴ with positive x,y,z all distinct. A121984

Number of (n+2)X3 binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187932

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 7", based on the 5-celled von Neumann neighborhood. A270012

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 261", based on the 5-celled von Neumann neighborhood. A271062

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 337", based on the 5-celled von Neumann neighborhood. A271287

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316691

Number of (n+2)X9 binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187938