Properties of the Number 3970

Three Thousand Nine Hundred Seventy

Basics

Value: 3969 → 3970 → 3971

Parity: even

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 397

Divisors: 1, 2, 5, 10, 397, 794, 1985, 3970

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110000010

Octal: 7602

Duodecimal: 236A

Hexadecimal: f82

Square: 15760900

Square Root: 63.00793600809346

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

Self-convolution of Fibonacci numbers. A1629

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.12.12 2D tiling (cf. A250122). A299257

Coordination sequence for "cab" 3D uniform tiling formed from octahedra and truncated cubes. A299266

a(n) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5. A5708

Generalized 21-gonal (or icosihenagonal) numbers: m*(19·m - 17)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303298

Centered square numbers: a(n) = 4·n² + 4·n + 2. A69894

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367297

a(n) = ChebyshevT(3, n). A144129

Triangle of coefficients of (1 - x)ⁿ*U(n,-(3·x - 2)/(2·x - 2)), where U(n,x) is the n-th Chebyshev polynomial of the second kind. A123027

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281205