Properties of the Number 54597

Fifty-Four Thousand Five Hundred Ninety-Seven

Basics

Value: 54596 → 54597 → 54598

Parity: odd

Prime: No

Previous Prime: 54583

Next Prime: 54601

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 18199

Divisors: 1, 3, 18199, 54597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010101000101

Octal: 152505

Duodecimal: 27719

Hexadecimal: d545

Square: 2980832409

Square Root: 233.66000941538968

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 configurations of the 5 X 2 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90036

G.f. A(x) satisfies: A(x) = ∑_n>=0 ((1+x)ⁿ - 1)ⁿ / A(x)ⁿ. A303057

a(0)=0, a(n) = 2*(a(n-1) + ceiling(n/2)) - 1 for n>0. A380384

a(n) = (1/5ⁿ) * ∑_k=0..n² ( (binomial(n², k) * 2^n²-k * 3^k) (mod 5ⁿ) ). A376535

Number of labeled 2-connected 3-edge-connected graphs by nodes. A54597