6,825,843

3³ × 241 × 1049

6,825,843 factors as 3^3 × 241 × 1049. Its 16 positive divisors give a proper-divisor sum of 3,338,157, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3^3 × 241 × 1049

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,164,000

Proper Divisor Sum 3,338,157

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6825829 ← → #6825877

Radix Representation

Decimal	6825843
Binary	11010000010011101110011 (23 bits)
Octal	0o32023563
Hexadecimal	0x682773

Divisor Catalog (16)

1 3 9 27 241 723 1,049 2,169 3,147 6,507 9,441 28,323 252,809 758,427 2,275,281 6,825,843

Collatz Trajectory (209 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,825,843 20,477,530 10,238,765 30,716,296 15,358,148 7,679,074 3,839,537 11,518,612 5,759,306 2,879,653 8,638,960 4,319,480 2,159,740 1,079,870 539,935 1,619,806 809,903 2,429,710 1,214,855 3,644,566 1,822,283 5,466,850 2,733,425 8,200,276 4,100,138 2,050,069 6,150,208 3,075,104 1,537,552 768,776 384,388 192,194 96,097 288,292 144,146 72,073 216,220 108,110 54,055 162,166 81,083 243,250 121,625 364,876 182,438 91,219 273,658 136,829 410,488 205,244 102,622 51,311 153,934 76,967 230,902 115,451 346,354 173,177 519,532 259,766

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