Properties of the Number 38057

Thirty-Eight Thousand Fifty-Seven

Basics

Value: 38056 → 38057 → 38058

Parity: odd

Prime: No

Previous Prime: 38053

Next Prime: 38069

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 19 × 2003

Divisors: 1, 19, 2003, 38057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010010101001

Octal: 112251

Duodecimal: 1A035

Hexadecimal: 94a9

Square: 1448335249

Square Root: 195.082034026714

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

Array read by ascending antidiagonals: A(n, k) is the permanent of the n-th order Hankel matrix of Catalan numbers M(n) whose generic element is given by M(i,j) = A000108(i+j+k) with i,j = 0, ..., n-1. A368026

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37). A250240

a(n) is the permanent of the n-th order Hankel matrix of Catalan numbers M(n) whose generic element is given by M(i,j) = A000108(i+j) with i,j = 0, ..., n-1. A368012

G.f. A(x) satisfies: 1-x = ∑_n>=0 (A(x)ⁿ + xⁿ)ⁿ * (-x)ⁿ. A246882

a(n) = 2ⁿ*n^n-1. A38057