Properties of the Number 52356

Fifty-Two Thousand Three Hundred Fifty-Six

Basics

Value: 52355 → 52356 → 52357

Parity: even

Prime: No

Previous Prime: 52321

Next Prime: 52361

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 4363

Divisors: 1, 2, 3, 4, 6, 12, 4363, 8726, 13089, 17452

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100110010000100

Octal: 146204

Duodecimal: 26370

Hexadecimal: cc84

Square: 2741150736

Square Root: 228.814335215257

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 triangles larger than size=1 in a matchstick-made hexagon with side length n. A307253

G.f. L(x,y) satisfies: L(x,y) = x * (1 + y·x*L'(x,y)) / (1 + x·L'(x,y)) where L'(x,y) = d/dx L(x,y), as a triangle read by rows. A301305

Number of n X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224032

T(n,k)=Number of nXk 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224038

Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6·n. A52356

Consider the 2ⁿ⁺¹ polynomials f(x) with coefficients 0 or 1 and degree <= n. Sequence gives triangle read by rows, in which T(n,k) (n>=0) is the number of such polynomials of thickness k (0 <= k <= n+1). A169945