Properties of the Number 13473

Thirteen Thousand Four Hundred Seventy-Three

Basics

Value: 13472 → 13473 → 13474

Parity: odd

Prime: No

Previous Prime: 13469

Next Prime: 13477

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 499

Divisors: 1, 3, 9, 27, 499, 1497, 4491, 13473

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010010100001

Octal: 32241

Duodecimal: 7969

Hexadecimal: 34a1

Square: 181521729

Square Root: 116.07325273291862

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 compositions (ordered partitions) of n into tetrahedral (or triangular pyramidal) numbers (A000292). A282582

Triangle T(n,k), n>=0, 0<=k<=n, read by rows: row n is the inverse binomial transform of the n-th row of array A255961, which has the Euler transform of (j->j·k) in column k. A257673

Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers. A23192

Expansion of e.g.f. (1/x) * Series_Reversion( x·exp(-x * (1 + x)²) / (1 + x)² ). A380781

Numbers generated by recursive procedure a(n) = nozero(a(n-1) * 3), in which the function nozero(x) removes all zeros from x, starting with a(1) = 1. A243845

a(n) = A257673(2n,n). A257675

Sum of the squares of the smaller parts of the partitions of 2n into two squarefree parts. A280320

Column k=5 of triangle A257673. A321950

Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487). A50355

Polynomial (1/3)*n³ + (9/2)*n² + (85/6)*n - 2. A73775