Properties of the Number 6841

Six Thousand Eight Hundred Forty-One

Basics

Value: 6840 → 6841 → 6842

Parity: odd

Prime: Yes

Previous Prime: 6833

Next Prime: 6857

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 6841

Divisors: 1, 6841

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010111001

Octal: 15271

Duodecimal: 3B61

Hexadecimal: 1ab9

Square: 46799281

Square Root: 82.71033792700887

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n into relatively prime parts. Also aperiodic partitions. A837

-1 + number of partitions of n. A65

Number of integer partitions of n having a unique part of least multiplicity. A362610

Number of integer partitions of n whose product of parts is not n. A379736

Number of integer partitions of n that cannot be partitioned into two or more blocks with equal sums. A321451

First member of a prime triple in a 2p-1 progression. A57326

Number of partitions of {1..2n} that are invariant under a permutation consisting of n 2-cycles. A2872

Table by antidiagonals, T(n,k) is the number of partitions of {1..(nk)} that are invariant under a permutation consisting of n k-cycles. A162663

Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p. A1583

Number of fixed points of permutation of SetPartitions under {1,2,...,n}->{n,n-1,...,1}. Number of symmetric arrangements of non-attacking rooks on upper half of n X n chessboard. A80107