Properties of the Number 19738

Nineteen Thousand Seven Hundred Thirty-Eight

Basics

Value: 19737 → 19738 → 19739

Parity: even

Prime: No

Previous Prime: 19727

Next Prime: 19739

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 71 × 139

Divisors: 1, 2, 71, 139, 142, 278, 9869, 19738

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110100011010

Octal: 46432

Duodecimal: B50A

Hexadecimal: 4d1a

Square: 389588644

Square Root: 140.49199265438583

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

O.g.f.: exp( ∑_n>=1 -(σ(2·n²) - σ(n²)) * (-x)ⁿ/n ). A215603

Row sums of triangle A135858. A135859

Sums of members of groups in A076062. A76060

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have k hills (a hill is either a ud or a Udd starting at the x-axis). A108431

Number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1),U=(1,2), or d=(1,-1) and have no hills (a hill is either a ud or a Udd starting at the x-axis). A108432

Sum of first n terms divides the concatenation of the first n terms. A166064

Expansion of 1/2 * ∏_{i>=0, j>=0, k>=0} (1 + x^{i² + j² + k²}). A321381

Numerators of continued fraction convergents to sqrt(149). A41272

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294866

Number of paraffins. A6001