Properties of the Number 51886

Fifty-One Thousand Eight Hundred Eighty-Six

Basics

Value: 51885 → 51886 → 51887

Parity: even

Prime: No

Previous Prime: 51871

Next Prime: 51893

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 25943

Divisors: 1, 2, 25943, 51886

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101010101110

Octal: 145256

Duodecimal: 2603A

Hexadecimal: caae

Square: 2692156996

Square Root: 227.7849863357987

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 compositions of n into divisors of n. A100346

T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. A234184

Number of compositions (ordered partitions) of n into squarefree divisors of n. A284464

Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)). A166285

Number of compositions (ordered partitions) of n into odd divisors of n. A284466

Number of compositions (ordered partitions) of n into unitary divisors of n. A286851

Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. A234177

Number of (n+1)X(5+1) 0..5 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. A234181

Number of nX3 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A305177

a(n) is the minimal prime p such that 2ⁿ * p + 1 is prime. A51886