Properties of the Number 53352

Fifty-Three Thousand Three Hundred Fifty-Two

Basics

Value: 53351 → 53352 → 53353

Parity: even

Prime: No

Previous Prime: 53327

Next Prime: 53353

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 13 × 19

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101000001101000

Octal: 150150

Duodecimal: 26A60

Hexadecimal: d068

Square: 2846435904

Square Root: 230.9805186590419

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(1)=1, a(n) = n·a(floor(n/2)). A98844

Triangle S(n,k) by rows: coefficients of 6^(n-1/2)*(x^1/6*d/dx)ⁿ when n is odd, and of 6^n/2*(x^5/6*d/dx)ⁿ when n is even. A223172

Triangle S(n,k) by rows: coefficients of 6^n/2*(x^5/6*d/dx)ⁿ when n=0,2,4,6,... A223532

T(n,k)=4X4 square grid graph coloring a rectangular array: number of nXk 0..15 arrays where 0..15 label nodes of the square grid graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph. A223402

Numbers with prime factorization p·q*r³*s³ (where p, q, r, s are distinct primes). A190108

n+φ(n)+φ(φ(n)) is a cube. A116042

(-1)σ perfect numbers: (-1)σ(a) = m·a for some integer m, where if a = Product p(i)^r(i) then (-1)σ(a) = ∏_i (-1 + ∑_s=1..r(i) p(i)^s). A34094

Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=3). A57383

a(n) = floor(p/2) * floor(floor(p/2)/2) * floor(floor(floor(p/2)/2)/2) * ... * 1, where p=prime(n). A163467

Monotonic ordering of set S generated by these rules: if·and y are in S and x²-y²>0 then x²-y² is in S, and 2 and 3 are in S. A192648