Properties of the Number 30188

Thirty Thousand One Hundred Eighty-Eight

Basics

Value: 30187 → 30188 → 30189

Parity: even

Prime: No

Previous Prime: 30187

Next Prime: 30197

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7547

Divisors: 1, 2, 4, 7547, 15094, 30188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010111101100

Octal: 72754

Duodecimal: 15578

Hexadecimal: 75ec

Square: 911315344

Square Root: 173.74694241914014

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303084

Number T(n,k) of linear chord diagrams having n chords and maximal chord length k (or k=0 if n=0); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A293961

a(n) = p² - sum of digits of p^p, where p = prime(n). A140499

Number of (n+1) X (6+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A235287

Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303085

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A235289

Expansion of q^-1/2 * η(q) * η(q²) * η(q³) * η(q⁶) in powers of q. A30188