Properties of the Number 30319

Thirty Thousand Three Hundred Nineteen

Basics

Value: 30318 → 30319 → 30320

Parity: odd

Prime: Yes

Previous Prime: 30313

Next Prime: 30323

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 30319

Divisors: 1, 30319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011001101111

Octal: 73157

Duodecimal: 15667

Hexadecimal: 766f

Square: 919241761

Square Root: 174.12351937633238

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

Array read by antidiagonals: T(m,n) is the number of maximum independent sets in the 2m X 2n king graph. A350819

Number of ways to place 2n nonattacking kings on a 4 X 2n chessboard. A61593

Prime number spiral (clockwise, North spoke). A54551

Sum over all partitions of n of the number of distinct parts i of multiplicity i+1. A276434

a(n) = ∑_k=0..n 3^k * binomial(2·n+k-1,k). A384950

Number of ways to place 6n nonattacking kings on a 12·2n chessboard. A174154

Sum of values of vertices at level n of the hyperbolic Pascal pyramid PP_4,5. A293070

Smallest prime of the form m·Q(n) + r where Q(n) = A002110(n) (the n-th primorial) and r = prime(n+1)². A54757

Emirps whose internal digits are also an emirp. A225235

a(n) = smallest number m which can be obtained in n ways by subtracting twice a triangular number from a perfect square. A78714