Properties of the Number 74288

Seventy-Four Thousand Two Hundred Eighty-Eight

Basics

Value: 74287 → 74288 → 74289

Parity: even

Prime: No

Previous Prime: 74287

Next Prime: 74293

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 4643

Divisors: 1, 2, 4, 8, 16, 4643, 9286, 18572, 37144, 74288

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001000110000

Octal: 221060

Duodecimal: 36BA8

Hexadecimal: 12230

Square: 5518706944

Square Root: 272.5582506547912

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) = (-11·n⁵ + 145·n⁴ - 635·n³ + 1115·n² - 494·n + 120)/120. A161706

a(n) = floor( exp(11/18)*n! ). A30880

Number of (n+1) X (2+1) 0..1 arrays with nondecreasing min(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. A250791

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing min(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. A250797

n-th term of the Kolakoski sequence (A000002) multiplied by the n-th partial sum. A74288