2,021,268

2² × 3 × 179 × 941

Starting at 2,021,268, the Collatz iteration reaches 1 after 122 steps. The first transition is 1010634; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 179 × 941

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,747,680

Proper Divisor Sum 2,726,412

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2021251 ← → #2021291

Radix Representation

Decimal	2021268
Binary	111101101011110010100 (21 bits)
Octal	0o7553624
Hexadecimal	0x1ED794

Divisor Catalog (24)

1 2 3 4 6 12 179 358 537 716 941 1,074 1,882 2,148 2,823 3,764 5,646 11,292 168,439 336,878 505,317 673,756 1,010,634 2,021,268

Collatz Trajectory (122 steps to reach 1)

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

2,021,268 1,010,634 505,317 1,515,952 757,976 378,988 189,494 94,747 284,242 142,121 426,364 213,182 106,591 319,774 159,887 479,662 239,831 719,494 359,747 1,079,242 539,621 1,618,864 809,432 404,716 202,358 101,179 303,538 151,769 455,308 227,654 113,827 341,482 170,741 512,224 256,112 128,056 64,028 32,014 16,007 48,022 24,011 72,034 36,017 108,052 54,026 27,013 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824

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