Properties of the Number 54497

Fifty-Four Thousand Four Hundred Ninety-Seven

Basics

Value: 54496 → 54497 → 54498

Parity: odd

Prime: Yes

Previous Prime: 54493

Next Prime: 54499

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 54497

Divisors: 1, 54497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010011100001

Octal: 152341

Duodecimal: 27655

Hexadecimal: d4e1

Square: 2969923009

Square Root: 233.44592521609795

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

a(n) = ∑_k=1..n (binomial(n, k) * 2^k) (mod 3^k). A386661

a(n) = 25·n³ - n*(5·n+1)/2 + 1. A167467

Fibonacci sequence beginning 5, 18. A22142

Primes of the form 20n²+8n+1. A154405

a(n) = b_f(n) where f is the 3-periodic sequence [-1,1,5] (see comments). A186267

Primes of the form H(m,k) = F(k+1)*F(m-k+2) - F(k)*F(m-k+1), where F(m) is the m-th Fibonacci number and m >= 0, 0 <= k <= m. A360932

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 179", based on the 5-celled von Neumann neighborhood. A270623

a(n) is the n-th order Taylor polynomial (centered at 0) of S(x)^3·n evaluated at x = 1, where S(x) = (1 - x - sqrt(1 - 6·x + x²))/(2·x) is the o.g.f. of the Schröder numbers A006318. A333092

Number of symmetric nonnegative integer 7 X 7 matrices with sum of elements equal to 4·n, under action of dihedral group D₄. A54497

Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A304897