Properties of the Number 82994

Eighty-Two Thousand Nine Hundred Ninety-Four

Basics

Value: 82993 → 82994 → 82995

Parity: even

Prime: No

Previous Prime: 82981

Next Prime: 82997

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 × 17 × 2441

Divisors: 1, 2, 17, 34, 2441, 4882, 41497, 82994

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010000110010

Octal: 242062

Duodecimal: 40042

Hexadecimal: 14432

Square: 6888004036

Square Root: 288.08679247754486

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) = ∑_i=1..n C(i+4,5)². A86025

a(n) = ∑_k=0..n binomial(n+k, k)². A112029

Regular triangle where T(n,k) is the number of multiset partitions of strongly normal multisets of size n into k blocks, where a multiset is strongly normal if it spans an initial interval of positive integers with weakly decreasing multiplicities. A317449

Number triangle of sums of squared binomial coefficients. A110197

Triangle read by rows: T(n, k) = ∑_j=0..n C(j, k)*C(j, n - k). A119307

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250769

Numbers k such that all the following properties hold: (i) k·reverse(k) is a square; (ii) k ≠ reverse(k); (iii) k and reverse(k) are not both squares; and (iv) k and reverse(k) have the same number of digits. A82994

Number of (n+2)X3 binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock. A186798