Properties of the Number 37805

Thirty-Seven Thousand Eight Hundred Five

Basics

Value: 37804 → 37805 → 37806

Parity: odd

Prime: No

Previous Prime: 37799

Next Prime: 37811

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 7561

Divisors: 1, 5, 7561, 37805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001110101101

Octal: 111655

Duodecimal: 19A65

Hexadecimal: 93ad

Square: 1429218025

Square Root: 194.4350791395421

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 length n+6 0..k arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms. A250154

G.f. A(x) defined by: A(x)³ consists entirely of integer coefficients between 1 and 3 (A083953); A(x) is the unique power series solution with A(0)=1. A84203

Number of length 4 arrays x(i), i=1..4 with x(i) in i..i+n and no value appearing more than 2 times. A250353

Number of length n+6 0..4 arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms. A250150

Number of length 1+6 0..n arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms. A250155

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, -1), (1, 0, 1), (1, 1, 0)}. A150684

Number of i such that d(i) < d(i-1), where ∑_i=0..m d(i)*7ⁱ is the base-7 representation of n. A37805