Properties of the Number 2853

Two Thousand Eight Hundred Fifty-Three

Basics

Value: 2852 → 2853 → 2854

Parity: odd

Prime: No

Previous Prime: 2851

Next Prime: 2857

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 317

Divisors: 1, 3, 9, 317, 951, 2853

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100100101

Octal: 5445

Duodecimal: 1799

Hexadecimal: b25

Square: 8139609

Square Root: 53.41348144429457

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

Second spoke of a hexagonal spiral. A56106

Positions of occurrences of the natural numbers as a second subsequence in A100035. A100037

Values of n such that L(11) and N(11) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227449

Non-palindromic balanced numbers (in base 10). A256075

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (-1)^k * (x^k + n·R(n,x))^k = 1 + (n+2)*∑_k>=1 (-1)^k * x^k², for n >= 1, as read by antidiagonals. A370020

T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors. A214352

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 4·A(x))ⁿ = 1 + 6*∑_n>=1 (-1)ⁿ * x^n². A370024

Number of ways to write n as an ordered sum of 9 squares of positive integers. A340946

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1. A255027

T(n,k)=Number of nXk array permutations with each element not moving, or moving one space E, S or NW. A189610