Properties of the Number 54573

Fifty-Four Thousand Five Hundred Seventy-Three

Basics

Value: 54572 → 54573 → 54574

Parity: odd

Prime: No

Previous Prime: 54563

Next Prime: 54577

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 18191

Divisors: 1, 3, 18191, 54573

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010100101101

Octal: 152455

Duodecimal: 276B9

Hexadecimal: d52d

Square: 2978212329

Square Root: 233.60864710023043

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

Square array A(n,k) by antidiagonals. A(n,k) is the number of length 2n k-ary words (n,k>=0), either empty or beginning with the first character of the alphabet, that can be built by repeatedly inserting doublets into the initially empty word. A183134

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))³. A341241

Expansion of c(2·x²)/(1-x·c(2·x²)), where c(x) = (1-sqrt(1-4·x))/(2·x) is the g.f. of the Catalan numbers (A000108). A126087

Number of ternary words either empty or beginning with the first character of the alphabet, that can be built by inserting n doublets into the initially empty word. A194723

Number of n-ary words beginning with the first character of the alphabet, that can be built by inserting seven doublets into the initially empty word. A194719

Repeated terms in A087657 (a(n) = |prime(n)-a(n-1)| + |prime(n)-a(n-2)| + |prime(n)-a(n-3)| ). A87658

Lesser members of g-reduced amicable pairs a < b such that σ(a) = σ(b) = a + b + gcd(a,b). A54573