Properties of the Number 55311

Fifty-Five Thousand Three Hundred Eleven

Basics

Value: 55310 → 55311 → 55312

Parity: odd

Prime: No

Previous Prime: 55291

Next Prime: 55313

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 103 × 179

Divisors: 1, 3, 103, 179, 309, 537, 18437, 55311

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000001111

Octal: 154017

Duodecimal: 28013

Hexadecimal: d80f

Square: 3059306721

Square Root: 235.18290754219365

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) = arrange digits of concatenation of divisors of n (A037278, A176558) in decreasing order (in base 10). A243360

Expansion of sum ( qⁿ / product( 1-q^k, k=1..4·n), n=0..inf ). A35296

Number of identity (asymmetric) bracelets (or necklaces) with n red and blue beads such that the beads switch colors when bracelet is turned over. A66316

Number of nX3 0..4 arrays with each element equal to the number its horizontal and vertical neighbors unequal to itself. A195957

Number of integer partitions of n whose run-lengths are not unimodal. A332281

Number of non-constant integer partitions of n whose length and maximum both divide n. A326852

Number of labeled rooted trees with n nodes and 10 leaves. A55311