Properties of the Number 3766

Three Thousand Seven Hundred Sixty-Six

Basics

Value: 3765 → 3766 → 3767

Parity: even

Prime: No

Previous Prime: 3761

Next Prime: 3767

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 269

Divisors: 1, 2, 7, 14, 269, 538, 1883, 3766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010110110

Octal: 7266

Duodecimal: 221A

Hexadecimal: eb6

Square: 14182756

Square Root: 61.36774397026503

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

Number of partitions of n into distinct parts in which the number of parts divides n. A102627

Number of pairs (p,q) of partitions such that q is a partition of n and p <= q (diagram containment). A297388

Number of partitions of n into distinct parts, the least being odd. A26832

Array read by antidiagonals: T(n,k) = number of nonequivalent dissections of a polygon into n k-gons by nonintersecting diagonals up to rotation (k >= 3). A295224

Number of integer partitions of n where no part is 2^k times any other part, for any k > 0. A323093

T(n,k)=Number of nXk 0..2 arrays with rows and columns in lexicographic nondecreasing order but with exactly three mistakes. A278372

Positions of A080299 in A014486. A80298

G.f.: 1/(1 - x/(1 - x⁴/(1 - x⁹/(1 - x¹⁶/(1 - x²⁵/(1 - x³⁶/(1 -...- x^n²/(1 -...))))))), a continued fraction. A206739

a(n) is the number of vertices in the diagram of partitions of n (see example). A299475

Array read by antidiagonals: T(n,k) is the number of noncrossing k-gonal cacti with n polygons up to rotation and reflection. A361239