Properties of the Number 55416

Fifty-Five Thousand Four Hundred Sixteen

Basics

Value: 55415 → 55416 → 55417

Parity: even

Prime: No

Previous Prime: 55411

Next Prime: 55439

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 2309

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2309, 4618

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100001111000

Octal: 154170

Duodecimal: 280A0

Hexadecimal: d878

Square: 3070933056

Square Root: 235.4060322081828

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(0) = 1; a(n) = (1/n) * ∑_k=1..n binomial(n,k)² * k·6^k-1 * a(n-k). A337597

G.f. = b(2)*b(4)*b(6)/(x⁸+x⁶-x⁵-x³-x+1), where b(k) = (1-x^k)/(1-x). A266333

Number of points in Z¹⁰ of norm <= n. A55416

Number of nX4 0..1 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors. A231540