Properties of the Number 54785

Fifty-Four Thousand Seven Hundred Eighty-Five

Basics

Value: 54784 → 54785 → 54786

Parity: odd

Prime: No

Previous Prime: 54779

Next Prime: 54787

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 10957

Divisors: 1, 5, 10957, 54785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101011000000001

Octal: 153001

Duodecimal: 27855

Hexadecimal: d601

Square: 3001396225

Square Root: 234.06195760951843

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 singular 2 X 2 matrices having all elements in {-n,...,n}. A209981

G.f. A(x) satisfies: A(x) = A(x³ - x⁶)/x². A350481

Number of decimal digits of Lucas(2ⁿ). A94057

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>n. A211640

Number of subsets of the first n nonzero tetrahedral numbers whose sum is a nonzero tetrahedral number. A378170

a(1) = 0 and a(n+1) > a(n) is the smallest integer such that a(n+1)²-a(n)² is triangular. A358416

Number of digits in the decimal expansion of Fibonacci(2ⁿ). A385248

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15. A31603

a(n) = σ(2n) - σ(n), where σ is the sum of divisors of n, A000203. A54785

Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 3 neighboring 1s. A297541