Properties of the Number 54978

Fifty-Four Thousand Nine Hundred Seventy-Eight

Basics

Value: 54977 → 54978 → 54979

Parity: even

Prime: No

Previous Prime: 54973

Next Prime: 54979

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 ² × 11 × 17

Divisors: 1, 2, 3, 6, 7, 11, 14, 17, 21, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011011000010

Octal: 153302

Duodecimal: 27996

Hexadecimal: d6c2

Square: 3022580484

Square Root: 234.47387914221918

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

Numbers that are the sum of four fourth powers in three or more ways. A344241

Numbers that are the sum of four fourth powers in exactly three ways. A344242

Expansion of ∏_k>=1 (1 - x^k)¹⁸. A10824

a(n) = ∑_{k=0..floor(n/6)} (-1)^k * (7·k+1) * binomial(2·n-5·k+1,n-6·k)/(2·n-5·k+1). A390477

Numbers whose prime exponents generates rotationally symmetric XOR-triangles. A335019

a(n) = n*(2·n+5)*(2·n+7). A35329

Coordination sequence for D₁₇ lattice. A107512

Numbers of the form a·b*c·r/60 where (a,b,c) is a primitive Pythagorean triple with inradius r. A393614

E.g.f. A(x) satisfies: A'(x) = A(x/A'(x)) with A(0)=1. A232696

Obtained from sequence of lucky numbers (A000959) by taking iterated absolute value differences of terms and extracting the leading diagonal. A54978