4,212,344

2³ × 526543

Starting at 4,212,344, the Collatz iteration reaches 1 after 128 steps. The first transition is 2106172; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 526543

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,898,160

Proper Divisor Sum 3,685,816

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4212343 ← → #4212353

Radix Representation

Decimal	4212344
Binary	10000000100011001111000 (23 bits)
Octal	0o20043170
Hexadecimal	0x404678

Divisor Catalog (8)

1 2 4 8 526,543 1,053,086 2,106,172 4,212,344

Collatz Trajectory (128 steps to reach 1)

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

4,212,344 2,106,172 1,053,086 526,543 1,579,630 789,815 2,369,446 1,184,723 3,554,170 1,777,085 5,331,256 2,665,628 1,332,814 666,407 1,999,222 999,611 2,998,834 1,499,417 4,498,252 2,249,126 1,124,563 3,373,690 1,686,845 5,060,536 2,530,268 1,265,134 632,567 1,897,702 948,851 2,846,554 1,423,277 4,269,832 2,134,916 1,067,458 533,729 1,601,188 800,594 400,297 1,200,892 600,446 300,223 900,670 450,335 1,351,006 675,503 2,026,510 1,013,255 3,039,766 1,519,883 4,559,650 2,279,825 6,839,476 3,419,738 1,709,869 5,129,608 2,564,804 1,282,402 641,201 1,923,604 961,802

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