Properties of the Number 53538

Fifty-Three Thousand Five Hundred Thirty-Eight

Basics

Value: 53537 → 53538 → 53539

Parity: even

Prime: No

Previous Prime: 53527

Next Prime: 53549

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 8923

Divisors: 1, 2, 3, 6, 8923, 17846, 26769, 53538

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101000100100010

Octal: 150442

Duodecimal: 26B96

Hexadecimal: d122

Square: 2866317444

Square Root: 231.38279970646047

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

T(n,k)=Number of nXk 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally. A229412

Triangle interpolating the swinging factorial (A056040) restricted to even indices with its binomial transform. Same as interpolating bilateral Schroeder paths (A026375) with the central binomial coefficients (A000984). A163841

a(n) = 420·2ⁿ - 222. A304614

Sequence defined by a(1)=a(2)=1 and a(n) = gray(a(n-1) + a(n-2)), with gray(m) = A003188(m). A265385

Number of partitions of n that do not contain 7 as a part. A27341

a(n) = n² + (n + 1)³ + (n + 2)⁴. A61222

Number of n X n 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally. A229405

Number of nX3 0..3 arrays avoiding 11 horizontally, 22 vertically, 33 antidiagonally and 00 diagonally. A229407

Self-convolution of array T given by A026386. A26951

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (0, 1, 0), (1, 0, 0)}. A149810