Properties of the Number 10352

Ten Thousand Three Hundred Fifty-Two

Basics

Value: 10351 → 10352 → 10353

Parity: even

Prime: No

Previous Prime: 10343

Next Prime: 10357

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 647

Divisors: 1, 2, 4, 8, 16, 647, 1294, 2588, 5176, 10352

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001110000

Octal: 24160

Duodecimal: 5BA8

Hexadecimal: 2870

Square: 107163904

Square Root: 101.74477873581523

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 edges in a figure made up of a row of n adjacent congruent rectangles upon drawing diagonals of all possible rectangles. A331757

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281400

Expansion of ∏_k>=1 1/(1 - x^2·k+1)^k. A263150

Number of permutations of an n-sequence discordant with three given permutations (see reference) in n-3 places. A380

Number of factorizations into distinct factors with 3 levels of parentheses indexed by prime signatures. A050349(A025487). A50350

a(n+1) = a(n) + floor(a(n)/4) with a(0)=4. A182305

a(n) = ((1+sqrt(8))*(2+sqrt(2))ⁿ + (1-sqrt(8))*(2-sqrt(2))ⁿ)/2. A111566

Triangle read by rows: T(n,k) is the number of permutations p of {1,2,...,n} such that the set {p(i)-i, i=1,2,...,n} has exactly k elements (1<=k<=n). A125182

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 777", based on the 5-celled von Neumann neighborhood. A283917

Number of Motzkin excursions of length n with an odd number of humps and an odd number of peaks. A325928