4,212,844

2² × 127 × 8293

Starting at 4,212,844, the Collatz iteration reaches 1 after 154 steps. The first transition is 2106422; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 127 × 8293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,431,424

Proper Divisor Sum 3,218,580

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4212827 ← → #4212847

Radix Representation

Decimal	4212844
Binary	10000000100100001101100 (23 bits)
Octal	0o20044154
Hexadecimal	0x40486C

Divisor Catalog (12)

1 2 4 127 254 508 8,293 16,586 33,172 1,053,211 2,106,422 4,212,844

Collatz Trajectory (154 steps to reach 1)

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

4,212,844 2,106,422 1,053,211 3,159,634 1,579,817 4,739,452 2,369,726 1,184,863 3,554,590 1,777,295 5,331,886 2,665,943 7,997,830 3,998,915 11,996,746 5,998,373 17,995,120 8,997,560 4,498,780 2,249,390 1,124,695 3,374,086 1,687,043 5,061,130 2,530,565 7,591,696 3,795,848 1,897,924 948,962 474,481 1,423,444 711,722 355,861 1,067,584 533,792 266,896 133,448 66,724 33,362 16,681 50,044 25,022 12,511 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723

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