Properties of the Number 28304

Twenty-Eight Thousand Three Hundred Four

Basics

Value: 28303 → 28304 → 28305

Parity: even

Prime: No

Previous Prime: 28297

Next Prime: 28307

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 29 × 61

Divisors: 1, 2, 4, 8, 16, 29, 58, 61, 116, 122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110111010010000

Octal: 67220

Duodecimal: 14468

Hexadecimal: 6e90

Square: 801116416

Square Root: 168.23792675850473

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) = ((4+sqrt(3))*(8+2·sqrt(3))ⁿ-(4-sqrt(3))*(8-2·sqrt(3))ⁿ)/(2·sqrt(3)). A161729

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 15 (most significant digit on right and removing all least significant zeros before concatenation). A29532

Numbers k such that 8k+1, 12k+1 and 24k+1 are primes and the last two are also of the form x² + 27y², so the tetrahedral number T(24k+1) is a Fermat pseudoprime to base 2. A321867

Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + (k+1)*∑_j=0..k binomial(k, j)*A(n-1,j) with A(0,k) = 1, n >= 0, k >= 0. A370382

a(n) is the number of nonnegative integers k less than 10ⁿ such that the decimal representation of k lacks at least one of the digits 1,2,3 and at least one of the digits 4,5,6,7,8,9. A125897

Number of binary words w of length n with equal numbers of 010 and 101 subwords such that for every prefix of w the number of occurrences of subword 101 is larger than or equal to the number of occurrences of subword 010. A260697

Irregular table read by rows: T(n,k) is the number of k-sided regions, k>=3, in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row. A369178

Number of (n+2) X (1+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254900

a(n) = ceiling( binomial(n, floor(n/2))/(1 + ceiling(n/2)) ) (interpolates between Catalan numbers). A28304