7,683,138

2 × 3² × 426841

Starting at 7,683,138, the Collatz iteration reaches 1 after 217 steps. The first transition is 3841569; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 426841

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,646,838

Proper Divisor Sum 8,963,700

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7683131 ← → #7683233

Radix Representation

Decimal	7683138
Binary	11101010011110001000010 (23 bits)
Octal	0o35236102
Hexadecimal	0x753C42

Divisor Catalog (12)

1 2 3 6 9 18 426,841 853,682 1,280,523 2,561,046 3,841,569 7,683,138

Collatz Trajectory (217 steps to reach 1)

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

7,683,138 3,841,569 11,524,708 5,762,354 2,881,177 8,643,532 4,321,766 2,160,883 6,482,650 3,241,325 9,723,976 4,861,988 2,430,994 1,215,497 3,646,492 1,823,246 911,623 2,734,870 1,367,435 4,102,306 2,051,153 6,153,460 3,076,730 1,538,365 4,615,096 2,307,548 1,153,774 576,887 1,730,662 865,331 2,595,994 1,297,997 3,893,992 1,946,996 973,498 486,749 1,460,248 730,124 365,062 182,531 547,594 273,797 821,392 410,696 205,348 102,674 51,337 154,012 77,006 38,503 115,510 57,755 173,266 86,633 259,900 129,950 64,975 194,926 97,463 292,390

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