Properties of the Number 6824

Six Thousand Eight Hundred Twenty-Four

Basics

Value: 6823 → 6824 → 6825

Parity: even

Prime: No

Previous Prime: 6823

Next Prime: 6827

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 853

Divisors: 1, 2, 4, 8, 853, 1706, 3412, 6824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101010101000

Octal: 15250

Duodecimal: 3B48

Hexadecimal: 1aa8

Square: 46566976

Square Root: 82.60750571225353

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

Numbers that are the sum of 12 positive 7th powers. A3379

Numbers that are the sum of 9 nonzero 8th powers. A3387

Square array of coefficients in the successive iterations of x·C(x) = (1-sqrt(1-4·x))/2 where C(x) is the g.f. of the Catalan numbers (A000108); read by antidiagonals. A158825

Number of partitions of n whose median is not a part. A238479

Number of unordered pairs of partitions of n (into distinct parts) with empty intersection. A108796

Subswing - the inverse binomial transform of the swinging factorial (A056040). A163650

a(n) = 8/3 - 5*(-2)ⁿ/3. A83581

Third iteration of x·C(x) where C(x) is the Catalan function (A000108). A158826

Number of n-node connected Stanley graphs. A323843

T(n,k) = total area of all squares and rectangles of area 2^k-1 after 2ⁿ stages in the toothpick structure of A139250, n>=1, k>=1, assuming the toothpicks have length 2. Triangle read by rows. A211017