4,871,339

11² × 127 × 317

Starting at 4,871,339, the Collatz iteration reaches 1 after 206 steps. The first transition is 14614018; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 127 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,413,632

Proper Divisor Sum 542,293

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4871329 ← → #4871351

Radix Representation

Decimal	4871339
Binary	10010100101010010101011 (23 bits)
Octal	0o22452253
Hexadecimal	0x4A54AB

Divisor Catalog (12)

1 11 121 127 317 1,397 3,487 15,367 38,357 40,259 442,849 4,871,339

Collatz Trajectory (206 steps to reach 1)

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

4,871,339 14,614,018 7,307,009 21,921,028 10,960,514 5,480,257 16,440,772 8,220,386 4,110,193 12,330,580 6,165,290 3,082,645 9,247,936 4,623,968 2,311,984 1,155,992 577,996 288,998 144,499 433,498 216,749 650,248 325,124 162,562 81,281 243,844 121,922 60,961 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859

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