Properties of the Number 55657

Fifty-Five Thousand Six Hundred Fifty-Seven

Basics

Value: 55656 → 55657 → 55658

Parity: odd

Prime: No

Previous Prime: 55639

Next Prime: 55661

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 7951

Divisors: 1, 7, 7951, 55657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100101101001

Octal: 154551

Duodecimal: 28261

Hexadecimal: d969

Square: 3097701649

Square Root: 235.91735841179639

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

Array read by antidiagonals: T(n,k) = number of nonequivalent dissections of a polygon into n k-gons by nonintersecting diagonals rooted at a cell up to rotation and reflection (k >= 3). A295259

Row sums of triangle K(m, n), inverse to triangle T(m,n) in A020921. A38200

Number of nonequivalent dissections of a polygon into n quadrilaterals by nonintersecting diagonals rooted at a cell up to rotation and reflection. A5035

Number of tilings of a 7 X n rectangle using straight (3 X 1) trominoes and 2 X 2 tiles. A219971

Number of tilings of a 9 X n rectangle using straight (3 X 1) trominoes and 2 X 2 tiles. A219973

Apparently solves the identity: find sequence B that represents the numbers of ordered compositions of n using the terms of A, and vice versa. A224342

Natural numbers written out with their digits grouped in sets of 5 (leading zeros omitted). A91341

If a(n) is prime, a(n+1) = a(n) followed by a 1; if a(n) is composite, a(n+1) = concatenation of distinct prime factors of a(n). A55657

Lexicographically least sequence of nonnegative integers that avoids 17/10-powers. A277164