Properties of the Number 8953

Eight Thousand Nine Hundred Fifty-Three

Basics

Value: 8952 → 8953 → 8954

Parity: odd

Prime: No

Previous Prime: 8951

Next Prime: 8963

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 1279

Divisors: 1, 7, 1279, 8953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011111001

Octal: 21371

Duodecimal: 5221

Hexadecimal: 22f9

Square: 80156209

Square Root: 94.62029380635002

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

Central trinomial coefficients: largest coefficient of (1 + x + x²)ⁿ. A2426

Square array read by diagonals: T(n,k) = number of arrays of n integers in -k..k with sum equal to 0. A201552

Sum of the squares of the trinomial coefficients (A027907). A82758

Riordan array (1/sqrt(1-2·x-3·x²), M(x)-1) where M(x) is the g.f. of the Motzkin numbers A001006. A114422

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(k·x)*BesselI(0,2·x). A292627

T(n,k)=Number of arrays of n integers in -k..k with sum zero and equal numbers of elements greater than zero and less than zero. A201811

Triangle T(n,k) = number of k-part order-consecutive partitions of n (1<=k<=n). A56241

Array read by rows: right-hand side of triangle A027907 of trinomial coefficients. A94531

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt((1+(k-4)*x+sqrt(1-2*(k+4)*x+((k-4)*x)²)) / (2 * (1-2*(k+4)*x+((k-4)*x)²))). A337389

Triangle, read by rows, such that the convolution of each row with {1,2} produces a triangle which, after the main diagonal is divided by 2 and the triangle is flattened, equals this flattened form of the original triangle. A92689