6,684,098

2 × 109 × 30661

Starting at 6,684,098, the Collatz iteration reaches 1 after 90 steps. The first transition is 3342049; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 109 × 30661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,118,460

Proper Divisor Sum 3,434,362

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6684091 ← → #6684101

Radix Representation

Decimal	6684098
Binary	11001011111110111000010 (23 bits)
Octal	0o31376702
Hexadecimal	0x65FDC2

Divisor Catalog (8)

1 2 109 218 30,661 61,322 3,342,049 6,684,098

Collatz Trajectory (90 steps to reach 1)

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

6,684,098 3,342,049 10,026,148 5,013,074 2,506,537 7,519,612 3,759,806 1,879,903 5,639,710 2,819,855 8,459,566 4,229,783 12,689,350 6,344,675 19,034,026 9,517,013 28,551,040 14,275,520 7,137,760 3,568,880 1,784,440 892,220 446,110 223,055 669,166 334,583 1,003,750 501,875 1,505,626 752,813 2,258,440 1,129,220 564,610 282,305 846,916 423,458 211,729 635,188 317,594 158,797 476,392 238,196 119,098 59,549 178,648 89,324 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066

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