Properties of the Number 55724

Fifty-Five Thousand Seven Hundred Twenty-Four

Basics

Value: 55723 → 55724 → 55725

Parity: even

Prime: No

Previous Prime: 55721

Next Prime: 55733

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 13931

Divisors: 1, 2, 4, 13931, 27862, 55724

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100110101100

Octal: 154654

Duodecimal: 282B8

Hexadecimal: d9ac

Square: 3105164176

Square Root: 236.05931458004363

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - n, where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296557

1/4 the number of arrangements of 5 nonzero numbers x(i) in -n..n with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189954

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, -1), (1, 0, 1), (1, 1, 1)}. A150908

Number of lucky twins <= 10ⁿ. A55724

E.g.f. satisfies: A(x) = 1/(cos(x·A(x)²) - sin(x·A(x)²)). A201990