Properties of the Number 4009

Four Thousand Nine

Basics

Value: 4008 → 4009 → 4010

Parity: odd

Prime: No

Previous Prime: 4007

Next Prime: 4013

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 19 × 211

Divisors: 1, 19, 211, 4009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110101001

Octal: 7651

Duodecimal: 23A1

Hexadecimal: fa9

Square: 16072081

Square Root: 63.31666447310692

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

Number of nonempty subsets of {1..n} whose geometric mean is an integer. A326027

Indices of primes followed by a gap (distance to next larger prime) of 44. A320720

a(n) = (2·n - 1)*(7·n² - 7·n + 3)/3. A63494

Numbers k such that 11·k+1 is a square. A219257

Generalized Catalan Numbers x³*A(x)² + (x-1)*A(x) + 1 =0. A23431

T(n,k)=Number of (n+2)Xk 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223652

Third differences of partition numbers A000041. A72380

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250583

Collatz (or 3x+1) trajectory starting at 703. A161021

Numbers n such that the decimal number concat(6,n) is a square. A273361