Properties of the Number 13083

Thirteen Thousand Eighty-Three

Basics

Value: 13082 → 13083 → 13084

Parity: odd

Prime: No

Previous Prime: 13063

Next Prime: 13093

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 89

Divisors: 1, 3, 7, 21, 49, 89, 147, 267, 623, 1869

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100011011

Octal: 31433

Duodecimal: 76A3

Hexadecimal: 331b

Square: 171164889

Square Root: 114.38094246857735

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

Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+3 of T), or [T^p](m,0) = p·T(p+m,p+3) for all m>=1 and p>=-3. A111544

Irregular triangle read by rows: Whitney numbers of the second kind a(n,k), n >= 1, k >= 0, for the star poset. A7799

Matrix logarithm of triangle A111544. A111549

Riordan array ((1+x)/(1-2x),x(1+x)/(1-2x)). A116412

Irregular table read by rows: Take a triangle with Pythagorean triple leg lengths with all diagonals drawn, as in A332978. Then T(n,k) = number of k-sided polygons in that figure for k >= 3 where the legs are divided into unit length parts. A333135

a(n) = a(n-1) + the number of primes <= a(n-1). A61535

a(n) = 441·n² - 488·n + 135. A157730

Triangle of coefficients of polynomials v(n,x) jointly generated with A210749; see the Formula section. A210750

G.f. B(x) satisfies: B(x) = x + 3·A(x)*C(x), where A(x) = x + 2·B(x)*C(x) and C(x) = x + 5·A(x)*B(x). A229809

Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments. A249251