Properties of the Number 7302

Seven Thousand Three Hundred Two

Basics

Value: 7301 → 7302 → 7303

Parity: even

Prime: No

Previous Prime: 7297

Next Prime: 7307

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1217

Divisors: 1, 2, 3, 6, 1217, 2434, 3651, 7302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110010000110

Octal: 16206

Duodecimal: 4286

Hexadecimal: 1c86

Square: 53319204

Square Root: 85.45174076635303

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(n) = (-6·n⁷ + 154·n⁶ - 1533·n⁵ + 7525·n⁴ - 18879·n³ + 22561·n² - 7302·n + 2520)/2520. A161710

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A284075

The nonzero terms of the cogrowth sequence of (Z/5Z)^*2 = <x∣x⁵=1> * <y∣y⁵=1> with respect to the generating set {(x,1), (1,y)}. A304979

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. A297978

A185243(n) is the a(n)-th triangular number. A185257

Number triangle associated to the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0. A107027

Number of parts of the n-th subshell of the head of the last section of the set of partitions of any even integer >= 2n. A182992

Irregular table read by rows: Take a concave circular triangle with all diagonals drawn, as in A340685. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A340688

Pseudo-random numbers: Davenport's generator for 32-bit integers. A84277

Number triangle associated with the Riordan arrays (1/(1+x),x/(1+x)^k),k>=0. A107030