6,684,300

2² × 3² × 5² × 7 × 1061

Starting at 6,684,300, the Collatz iteration reaches 1 after 116 steps. The first transition is 3342150; the starting value is even with 108 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 1061

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 23,967,216

Proper Divisor Sum 17,282,916

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6684299 ← → #6684341

Radix Representation

Decimal	6684300
Binary	11001011111111010001100 (23 bits)
Octal	0o31377214
Hexadecimal	0x65FE8C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1,050 1,061 1,260 1,575 2,100 2,122 3,150 3,183 4,244 5,305 6,300 6,366

Collatz Trajectory (116 steps to reach 1)

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

6,684,300 3,342,150 1,671,075 5,013,226 2,506,613 7,519,840 3,759,920 1,879,960 939,980 469,990 234,995 704,986 352,493 1,057,480 528,740 264,370 132,185 396,556 198,278 99,139 297,418 148,709 446,128 223,064 111,532 55,766 27,883 83,650 41,825 125,476 62,738 31,369 94,108 47,054 23,527 70,582 35,291 105,874 52,937 158,812 79,406 39,703 119,110 59,555 178,666 89,333 268,000 134,000 67,000 33,500 16,750 8,375 25,126 12,563 37,690 18,845 56,536 28,268 14,134 7,067

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