Properties of the Number 7347

Seven Thousand Three Hundred Forty-Seven

Basics

Value: 7346 → 7347 → 7348

Parity: odd

Prime: No

Previous Prime: 7333

Next Prime: 7349

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 31 × 79

Divisors: 1, 3, 31, 79, 93, 237, 2449, 7347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010110011

Octal: 16263

Duodecimal: 4303

Hexadecimal: 1cb3

Square: 53978409

Square Root: 85.71464285639881

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

Start with x, xy; then concatenate each word in turn with all preceding words, getting·xy xxy xxxy xyxxy xxxxy xyxxxy xxyxxxy ...; sequence gives number of words of length n. Also binary trees by degree: x (x,y) (x,(x,y)) (x,(x,(x,y))) ((x,y),(x,(x,y)))... A63895

Iterate the map in A006369 starting at 144. A185589

Trajectory of 64 under the map n-> A006369(n). A223083

Numbers k such that prime(k) + prime(k+1) is a square. A64397

G.f. A(x) satisfies: A(x) = 1 + x + x² + x³ + x⁴*A(x)². A307971

a(1) = 1; a(n) = ∑_k=1..n-1 a(floor((n-1)/k)). A78346

Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A359603

Floor of the expected value of number of trials until exactly one cell is empty in a random distribution of n balls in n cells. A210112

a(n) = rightmost term in Mⁿ * [1 0 0]. M = the 3 X 3 stiffness matrix [1 -1 0 / -1 4 -3 / 0 -3 3]. A94432

Molien series for invariants of finite Coxeter group A₈. A266777