Properties of the Number 19953

Nineteen Thousand Nine Hundred Fifty-Three

Basics

Value: 19952 → 19953 → 19954

Parity: odd

Prime: No

Previous Prime: 19949

Next Prime: 19961

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 739

Divisors: 1, 3, 9, 27, 739, 2217, 6651, 19953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111110001

Octal: 46761

Duodecimal: B669

Hexadecimal: 4df1

Square: 398122209

Square Root: 141.25508840392263

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

Smallest number whose tenth power has at least n digits. A130084

Number of regions formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions equal the Farey series of order n. A359969

G.f. A(x) = ∏_n>=1 1/(1 - 3^n²*xⁿ). A209495

Expansion of g.f. A(x) satisfying A(x) = A( x·A(x)² + 3·x*A(x)³ )^1/3. A370439

G.f. A(x,y) satisfies: A(x,y) = x + A( x² + x·y*A(x,y)², y). A271868

a(n) = (2·prime(n)² + 1)/3. A286679

Let f(1) = 1 + i (where i denotes the imaginary unit) and for n > 0, f(n+1) is the Gaussian prime in the first quadrant (with positive real part and nonnegative imaginary part) with least modulus that divides 1 + ∏_k=1..n f(k) (in case of a tie minimize the imaginary part); a(n) is the real part of f(n). A320103

a(n) = ∑_d∣n d·3^n·d. A209804

Decimal expansion of tangent of 55 degrees. A19953