Properties of the Number 2966

Two Thousand Nine Hundred Sixty-Six

Basics

Value: 2965 → 2966 → 2967

Parity: even

Prime: No

Previous Prime: 2963

Next Prime: 2969

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 1483

Divisors: 1, 2, 1483, 2966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010110

Octal: 5626

Duodecimal: 1872

Hexadecimal: b96

Square: 8797156

Square Root: 54.46099521676041

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) = 2*(n² - n + 1). A51890

Coordination sequence for (2,6,infinity) tiling of hyperbolic plane. A265070

Number of integer partitions of n whose length (number of parts) is not equal to the sum of any submultiset. A367213

Interprimes (A024675) which are of the form s·prime, s=2. A75277

Number of integer partitions of n where the parts have the same median as the distinct parts. A360245

Number T(m,n) of different strings of length n obtained from "123...m" by iteratively duplicating any substring; formatted as upper right triangle. A137743

Number of different strings of length n obtained from "abcd" by iteratively duplicating any substring. A137744

Least sum of 3 distinct nonzero squares in exactly n ways. A25415

T(n,k)=Number of 0..k arrays of length n with each element differing from at least one neighbor by 1 or less, starting with 0. A221683

Let A(n) = #{(i,j,k): i² + j² + k² <= n}, V(n) = (4/3)π*n^3/2, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record. A92