Properties of the Number 72384

Seventy-Two Thousand Three Hundred Eighty-Four

Basics

Value: 72383 → 72384 → 72385

Parity: even

Prime: No

Previous Prime: 72383

Next Prime: 72421

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 13 × 29

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101011000000

Octal: 215300

Duodecimal: 35A80

Hexadecimal: 11ac0

Square: 5239443456

Square Root: 269.0427475328038

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

a(n) = [xⁿ] η(x)^2ⁿ. A158112

E.g.f.: exp(2)*P(x) - Q(x), where P(x) = 1/∏_n>=1 (1 - xⁿ/n) and Q(x) = ∑_n>=1 2ⁿ/∏_k=1..n (k - x^k). A249475

a(n) = Fibonacci(n)*A000118(n) for n>=1 with a(0)=1, where A000118(n) is the number of ways of writing n as a sum of 4 squares. A205963

a(n) = -(1/120)*n*(n - 3)*(n - 6)*(n² - 21·n + 8). A319931

Expansion of ∏_k>=1 (1-x^k)³². A10837

Expansion of 1/(1 - x/(1 - x⁵/(1 - x¹⁴/(1 - x³⁰/(1 - x⁵⁵/(1 - ... - x^k*(k+1*(2·k+1)/6)/(1 - ...))))))), a continued fraction. A295073

Number of segments created by diagonals of n-gon. A14629

Area of the Pythagorean triangle a = u² - v² (cf. A096382) when u=3, v=4,4,5,... A96383

Triangle T where the g.f. of row n of T²ⁿ = (2n² + y)ⁿ for n>=0, as read by rows, where Tⁿ denotes the n-th matrix power of T. A177390

Expansion of g.f. A(x) satisfying A(x) = 1 + 4·x * AGM(A(x)², A(x)⁴). A369537