Properties of the Number 27338

Twenty-Seven Thousand Three Hundred Thirty-Eight

Basics

Value: 27337 → 27338 → 27339

Parity: even

Prime: No

Previous Prime: 27337

Next Prime: 27361

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 13669

Divisors: 1, 2, 13669, 27338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101011001010

Octal: 65312

Duodecimal: 139A2

Hexadecimal: 6aca

Square: 747366244

Square Root: 165.3420696616563

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 2ⁿ into powers of 2. A2577

Infinite lower triangular matrix, M, that satisfies [M²](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78121

Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) is the number of partitions of kⁿ into powers of k. A145515

Rectangular table where column k equals row sums of matrix power A078121^k, read by antidiagonals. A125790

Subrecords in A048673: maximum value between two consecutive records in A048673. A247284

Number of partitions of 2ⁿ into powers of 2 less than or equal to 128. A210776

Number of partitions of 2ⁿ into powers of 2 less than or equal to 256. A210777

Number of partitions of 2ⁿ into powers of 2 less than or equal to 512. A210778

Number of partitions of 2ⁿ into powers of 2 less than or equal to 1024. A210779

Rectangular array A read by upward antidiagonals in which the entry in row n and column k is defined by A(n,k) = 5 + 9·A005836(2^{k - 1}*(2 n - 1)), n,k >= 1. A265159