Properties of the Number 3196

Three Thousand One Hundred Ninety-Six

Basics

Value: 3195 → 3196 → 3197

Parity: even

Prime: No

Previous Prime: 3191

Next Prime: 3203

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 17 × 47

Divisors: 1, 2, 4, 17, 34, 47, 68, 94, 188, 799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001111100

Octal: 6174

Duodecimal: 1A24

Hexadecimal: c7c

Square: 10214416

Square Root: 56.53317610041028

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

Expansion of reciprocal of Hauptmodul for Gamma₀(18). A92848

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

a(n) = A005449(n) - 1, where A005449 = second pentagonal numbers. A95794

a(n) = -2·n² + 12·n - 14. A147973

Numbers m such that there are precisely 11 groups of order m. A249554

a(n) is the solution to the postage stamp problem with n denominations and 5 stamps. A1215

4-dimensional analog of centered polygonal numbers. Also number of regions created by sides and diagonals of a convex n-gon in general position. A6522

T(n,k)=Number of -k..k arrays x(0..n+2) of n+3 elements with zero sum and nonzero second and third differences. A200204

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250783

Expansion of q^-1 * (φ(q) / φ(q⁹) - 1) / 2 in powers of q³ where φ() is a Ramanujan θ function. A128111