Properties of the Number 7342

Seven Thousand Three Hundred Forty-Two

Basics

Value: 7341 → 7342 → 7343

Parity: even

Prime: No

Previous Prime: 7333

Next Prime: 7349

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 3671

Divisors: 1, 2, 3671, 7342

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010101110

Octal: 16256

Duodecimal: 42BA

Hexadecimal: 1cae

Square: 53904964

Square Root: 85.68547134724766

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 stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below. A1524

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250632

Numbers whose least quadratic nonresidue (A020649) is 13. A25025

a(n) = ∑_i=0..n ∑_j=0..n T(i,j), T given by A026758. A26767

Expansion of ∏_k>=0 (1 + x^3·k+1)/(1 - x^3·k+1). A261610

Number of 10's in the last section of the set of partitions of n. A206560

A triangle with Pell numbers in the first column. A164981

G.f.: ∏_n=-oo..+oo ( 1 + xⁿ*(1 - xⁿ)ⁿ ). A293602

Consider the figure made up of a row of n adjacent congruent rectangles, with diagonals of all possible rectangles drawn; a(n) = number of interior vertices where exactly three lines cross. A336489

Let a(n) = the number of permutations (p(1),p(2),p(3)...,p(n)) of (1,2,3,...,n) where, if each (m,p(m)) is plotted on a graph, then the entire set P of the n of these plotted points would be on the perimeter of the convex hull of P. A156831