2,138,228

2² × 29 × 18433

Starting at 2,138,228, the Collatz iteration reaches 1 after 241 steps. The first transition is 1069114; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 18433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,871,140

Proper Divisor Sum 1,732,912

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2138221 ← → #2138231

Radix Representation

Decimal	2138228
Binary	1000001010000001110100 (22 bits)
Octal	0o10120164
Hexadecimal	0x20A074

Divisor Catalog (12)

1 2 4 29 58 116 18,433 36,866 73,732 534,557 1,069,114 2,138,228

Collatz Trajectory (241 steps to reach 1)

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

2,138,228 1,069,114 534,557 1,603,672 801,836 400,918 200,459 601,378 300,689 902,068 451,034 225,517 676,552 338,276 169,138 84,569 253,708 126,854 63,427 190,282 95,141 285,424 142,712 71,356 35,678 17,839 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868 16,934 8,467 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567

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