Properties of the Number 6941

Six Thousand Nine Hundred Forty-One

Basics

Value: 6940 → 6941 → 6942

Parity: odd

Prime: No

Previous Prime: 6917

Next Prime: 6947

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 631

Divisors: 1, 11, 631, 6941

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100011101

Octal: 15435

Duodecimal: 4025

Hexadecimal: 1b1d

Square: 48177481

Square Root: 83.31266410336426

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

Number of reduced words of length n in the Weyl group D₁₁. A162288

Number of reduced words of length n in the Weyl group B₁₁. A161776

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252433

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049

a(n) = ∑_{d divides n} d*(n/d)^d-1. A167531

Positive integers n such that 2ⁿ == 2¹¹ (mod n). A15935

Odd integers n such that 2ⁿ == 2¹¹ (mod n). A276971

T(n,k)=Number of nXk 0..3 arrays with no occurrence of three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..3 introduced in row major order. A205161

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 633", based on the 5-celled von Neumann neighborhood. A273299

a(n) = floor(binomial(n,3)/3). A11849