Properties of the Number 5326

Five Thousand Three Hundred Twenty-Six

Basics

Value: 5325 → 5326 → 5327

Parity: even

Prime: No

Previous Prime: 5323

Next Prime: 5333

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 2663

Divisors: 1, 2, 2663, 5326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011001110

Octal: 12316

Duodecimal: 30BA

Hexadecimal: 14ce

Square: 28366276

Square Root: 72.97944916207575

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 at most n into at most 5 parts. A2622

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111. A260370

Square table, read by antidiagonals: the g.f. for row n is given recursively by (2·n-1)*x·R(n,x) = 1 + (2·n-3)*x - 1/R(n-1,x) for n >= 1 with the initial value R(0,x) = ∑_{k >= 0} A112934(k+1)*x^k. A355721

T(n,k)=Number of nXk 0..2 arrays with the counts of all possible adjacent horizontal and vertical pair sum values being within one of each other. A203600

Schoenheim bound L₁(n,9,8). A36836

Number of maximal subsets of {1..n} containing no products of distinct elements. A325710

Number of partitions of n such that (number of distinct parts) > least part. A239951

Run lengths of successive equal terms in A305671. A305675

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

Records in A118514. A118515