Properties of the Number 4707

Four Thousand Seven Hundred Seven

Basics

Value: 4706 → 4707 → 4708

Parity: odd

Prime: No

Previous Prime: 4703

Next Prime: 4721

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 523

Divisors: 1, 3, 9, 523, 1569, 4707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001100011

Octal: 11143

Duodecimal: 2883

Hexadecimal: 1263

Square: 22155849

Square Root: 68.60757975617562

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) = ∑_k=0..n binomial(2·k,k). A6134

a(n) = 2·n² - 2·n + 3. A97080

Number of non-isomorphic fully chiral multiset partitions of weight n. A330227

Triangle of coefficients of characteristic polynomial of negative Pascal matrix with (i,j)-th entry -C(i+j-2,i-1). A45912

The O(1) loop model on the square lattice is defined as follows: At every vertex the loop turns to the left or to the right with equal probability, unless the vertex has been visited before, in which case the loop leaves the vertex via the unused edge. Every vertex is visited twice. The probability that a face of the lattice on an n X infinity cylinder is surrounded by three loops is conjectured to be given by a(n)/A_HT(n)², where A_HT(n) is the number of n X n half turn symmetric alternating sign matrices. A92375

Positions of 10 after decimal point in decimal expansion of 1/π. A134260

Sum of the eighth largest parts in the partitions of n into 10 squarefree parts. A326630

Expansion of x/((1-x)*sqrt(1-4·x²)). A100066

Positions of 4 in A274640. A275189

Triangle read by rows where T(n,k) is the number of nonempty subsets of {1,...,2n-1} with median n and minimum k. A361654