Properties of the Number 26401

Twenty-Six Thousand Four Hundred One

Basics

Value: 26400 → 26401 → 26402

Parity: odd

Prime: No

Previous Prime: 26399

Next Prime: 26407

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 17 × 1553

Divisors: 1, 17, 1553, 26401

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011100100001

Octal: 63441

Duodecimal: 13341

Hexadecimal: 6721

Square: 697012801

Square Root: 162.48384535085327

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

Expansion of g.f. (1-2·x+51·x²)/(1-x)³. A257352

Expansion of (1 + x - x² - x³ - x⁴)/((1 - x)*(1 - x - 2·x² - 2·x³ - x⁴)). A272362

Number of parts in all partitions of n in which no part occurs more than six times. A320609

a(n) = 66·n² + 1. A158689

Strong pseudoprimes to base 99. A20325

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, 0), (0, 1, -1), (1, -1, 0), (1, 1, 1)}. A149719

Number of nX1 0..3 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes. A278604

Sequence (a(n): n >= 1) that shifts left 2 places under the "CIK" (necklace, indistinct, unlabeled) transform and satisfies a(1) = a(2) = 1. A32202

Position of the first n in A026400. A26401