Properties of the Number 13428

Thirteen Thousand Four Hundred Twenty-Eight

Basics

Value: 13427 → 13428 → 13429

Parity: even

Prime: No

Previous Prime: 13421

Next Prime: 13441

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 373

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 373

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010001110100

Octal: 32164

Duodecimal: 7930

Hexadecimal: 3474

Square: 180311184

Square Root: 115.8792474949678

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..1 arrays with every 1 horizontally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297338

T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no three points are collinear at any angle. A194136

Least k such that there are exactly A003586(n) ways to choose a binary index of each binary index of k. A368111

Sorted positions of first appearances in A368109 (number of ways to choose a binary index of each binary index). A368112

Number of consecutive runs of just 1 odd nonprime congruent to 3 mod 4 below 10ⁿ. A93184

Ulam's spiral (NNW spoke). A143860

Expansion of ∏_k>=1 ((1 + x^2·k-1)/(1 - x^2·k))^k. A295832

The location of records in A210700. A210701

Numbers k such that k⁸¹⁹² + (k+1)⁸¹⁹² is prime. A274237

Expansion of (1+x·C⁴)*C³, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71264