Properties of the Number 19396

Nineteen Thousand Three Hundred Ninety-Six

Basics

Value: 19395 → 19396 → 19397

Parity: even

Prime: No

Previous Prime: 19391

Next Prime: 19403

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 13 × 373

Divisors: 1, 2, 4, 13, 26, 52, 373, 746, 1492, 4849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100101111000100

Octal: 45704

Duodecimal: B284

Hexadecimal: 4bc4

Square: 376204816

Square Root: 139.26952286842948

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

Let f(k) = exp(π*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10³. A127022

Sum of the second largest parts of the partitions of n into 10 squarefree parts. A326636

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11 (11 maximizes T(1,1)). A233792

Volume of right circular cone (rounded down) with the diameter of base and height equal to n. A228189

G.f.: (1 + 5·x + 5·x² + x³)/∏_i=1..10 (1 - xⁱ). A256977

Relative of Hofstadter Q-sequence: a(n) = max(0, n+19395) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283886

Numerators of the convergents of the continued fraction for sqrt(sqrt(2) - 1), the radius vector of the point of bisection of the arc of the unit lemniscate (x² + y²)² = x² - y² in the first quadrant. A154749

a(n) = 4394·n + 1820. A156636

Sequence a(n) = 3·A002559(n) - 2 determining the principal reduced indefinite binary quadratic form [1, a(n), -a(n)] for Markoff triples. A324250

Sum over all partitions of n of the GCD of the number of parts and the number of distinct parts. A339312