Properties of the Number 83741

Eighty-Three Thousand Seven Hundred Forty-One

Basics

Value: 83740 → 83741 → 83742

Parity: odd

Prime: No

Previous Prime: 83737

Next Prime: 83761

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 ² × 1709

Divisors: 1, 7, 49, 1709, 11963, 83741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011100011101

Octal: 243435

Duodecimal: 40565

Hexadecimal: 1471d

Square: 7012555081

Square Root: 289.38037252032143

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) = L(n) + a(L(n)), where L(n) = n - 2^floor(log₂(n)) (A053645). A83741

Sum of pyramid weights of all Dyck paths of semilength n that have no ascents and no descents of length 1. A166302

a(n) = ∑_k=0..n binomial(n, k)² * hypergeom([(k-n)/2, (k-n+1)/2], [k+2], 4). A344502