Properties of the Number 6891

Six Thousand Eight Hundred Ninety-One

Basics

Value: 6890 → 6891 → 6892

Parity: odd

Prime: No

Previous Prime: 6883

Next Prime: 6899

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 2297

Divisors: 1, 3, 2297, 6891

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101011

Octal: 15353

Duodecimal: 3BA3

Hexadecimal: 1aeb

Square: 47485881

Square Root: 83.01204731844649

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 partitions of n such that the successive differences of consecutive parts are nondecreasing. A240026

Number of integer partitions of n whose Heinz number (product of primes of parts) is divisible by their sum of primes of parts. A330953

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

Numbers n such that Q(sqrt(n)) has class number 10. A218042

Number of compositions of n+2 having exactly two parts equal to 1. A105423

a(n) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such number exists. A350405

Number of ways to write n as an ordered sum of 6 prime powers (including 1). A341135

Expansion of ∏_k>=1 1/(1 - (4·k-3)*x^4·k-3). A265830

a(n) = 1·2 + 3 + 4·5 + 6 + 7·8 + 9 + 10·11 + 12 + ... + (up to n). A305189

p² + 2 where p is a prime. A61725