Properties of the Number 6861

Six Thousand Eight Hundred Sixty-One

Basics

Value: 6860 → 6861 → 6862

Parity: odd

Prime: No

Previous Prime: 6857

Next Prime: 6863

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2287

Divisors: 1, 3, 2287, 6861

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011001101

Octal: 15315

Duodecimal: 3B79

Hexadecimal: 1acd

Square: 47073321

Square Root: 82.83115355951527

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 integer partitions of n having a unique mode. A362608

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302224

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302472

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302670

T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303254

a(n) = n³ + 2. A84380

Floor(ζ(3)ⁿ). A125890

Number of partitions p of n such that 2*(number of even numbers in p) > (number of odd numbers in p). A241655

Numbers k such that k! is divisible by the square of (f+d)!² for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2). A56068

Number of 7 X 7 binary matrices with n ones, with no zero rows or columns, up to row and column permutation. A56079