8,371,983

3 × 331 × 8431

Starting at 8,371,983, the Collatz iteration reaches 1 after 137 steps. The first transition is 25115950; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 331 × 8431

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,197,696

Proper Divisor Sum 2,825,713

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8371927 ← → #8371999

Radix Representation

Decimal	8371983
Binary	11111111011111100001111 (23 bits)
Octal	0o37737417
Hexadecimal	0x7FBF0F

Divisor Catalog (8)

1 3 331 993 8,431 25,293 2,790,661 8,371,983

Collatz Trajectory (137 steps to reach 1)

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

8,371,983 25,115,950 12,557,975 37,673,926 18,836,963 56,510,890 28,255,445 84,766,336 42,383,168 21,191,584 10,595,792 5,297,896 2,648,948 1,324,474 662,237 1,986,712 993,356 496,678 248,339 745,018 372,509 1,117,528 558,764 279,382 139,691 419,074 209,537 628,612 314,306 157,153 471,460 235,730 117,865 353,596 176,798 88,399 265,198 132,599 397,798 198,899 596,698 298,349 895,048 447,524 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402 106,201 318,604

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