Properties of the Number 4053

Four Thousand Fifty-Three

Basics

Value: 4052 → 4053 → 4054

Parity: odd

Prime: No

Previous Prime: 4051

Next Prime: 4057

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 193

Divisors: 1, 3, 7, 21, 193, 579, 1351, 4053

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111010101

Octal: 7725

Duodecimal: 2419

Hexadecimal: fd5

Square: 16426809

Square Root: 63.66317616958802

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 conjugacy classes in GL(n,2). A6951

Number of points of norm <= n² in square lattice. A328

Expansion of (1/(1-x²))*∏_m>=0 1/(1-x^2m+1). A38348

Triangle T(n,k), 0 <= k <= n, read by rows defined by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = 4·T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-1) + 5·T(n-1,k) + T(n-1,k+1) for k >= 1. A126331

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (same as A160410, but a(1) = 1, not 4). A160414

a(n) = 2·n² + 3. A93328

a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A33681

Start with a single square; at n-th generation add a square at each expandable vertex; a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247618

T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269619

Numbers k such that k! - (k-1)! + (k-2)! - (k-3)! + ... - (-1)^k*1! is prime. A1272