Properties of the Number 54757

Fifty-Four Thousand Seven Hundred Fifty-Seven

Basics

Value: 54756 → 54757 → 54758

Parity: odd

Prime: No

Previous Prime: 54751

Next Prime: 54767

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 3221

Divisors: 1, 17, 3221, 54757

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010111100101

Octal: 152745

Duodecimal: 27831

Hexadecimal: d5e5

Square: 2998329049

Square Root: 234.00213674238105

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) = 36·n² + 1. A158591

a(n) = (-1)ⁿ + ∑_{k=0..floor((n-1)/2)} a(k) * a(n-2·k-1). A351973

a(n) is the smallest positive integer k such that, if kn is written in base 2, it requires exactly n ones. A102032

Continued fraction expansion for exp( ∑_n>=1 1/(n·A085447(n)) ), where A085447(n) = (3+sqrt(10))ⁿ + (3-sqrt(10))ⁿ. A174507

Necklace Catalan numbers. A291292

Odd composite integers m such that U(m)² == 1 (mod m) and V(m) == 6 (mod m), where U(m) and V(m) are the m-th generalized Lucas and Pell-Lucas numbers of parameters a=6 and b=-1, respectively. A337629

a(n) = 8·n³ - 6·n - 1. A369922

Smallest prime of the form m·Q(n) + r where Q(n) = A002110(n) (the n-th primorial) and r = prime(n+1)². A54757