6,800,248

2³ × 7 × 13 × 9341

Starting at 6,800,248, the Collatz iteration reaches 1 after 85 steps. The first transition is 3400124; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 9341

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,694,560

Proper Divisor Sum 8,894,312

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6800231 ← → #6800251

Radix Representation

Decimal	6800248
Binary	11001111100001101111000 (23 bits)
Octal	0o31741570
Hexadecimal	0x67C378

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 9,341 18,682 37,364 65,387 74,728 121,433 130,774 242,866 261,548 485,732 523,096 850,031 971,464 1,700,062 3,400,124 6,800,248

Collatz Trajectory (85 steps to reach 1)

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

6,800,248 3,400,124 1,700,062 850,031 2,550,094 1,275,047 3,825,142 1,912,571 5,737,714 2,868,857 8,606,572 4,303,286 2,151,643 6,454,930 3,227,465 9,682,396 4,841,198 2,420,599 7,261,798 3,630,899 10,892,698 5,446,349 16,339,048 8,169,524 4,084,762 2,042,381 6,127,144 3,063,572 1,531,786 765,893 2,297,680 1,148,840 574,420 287,210 143,605 430,816 215,408 107,704 53,852 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200

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