4,272,272

2⁴ × 267017

Starting at 4,272,272, the Collatz iteration reaches 1 after 105 steps. The first transition is 2136136; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 267017

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 8,277,558

Proper Divisor Sum 4,005,286

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4272269 ← → #4272311

Radix Representation

Decimal	4272272
Binary	10000010011000010010000 (23 bits)
Octal	0o20230220
Hexadecimal	0x413090

Divisor Catalog (10)

1 2 4 8 16 267,017 534,034 1,068,068 2,136,136 4,272,272

Collatz Trajectory (105 steps to reach 1)

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

4,272,272 2,136,136 1,068,068 534,034 267,017 801,052 400,526 200,263 600,790 300,395 901,186 450,593 1,351,780 675,890 337,945 1,013,836 506,918 253,459 760,378 380,189 1,140,568 570,284 285,142 142,571 427,714 213,857 641,572 320,786 160,393 481,180 240,590 120,295 360,886 180,443 541,330 270,665 811,996 405,998 202,999 608,998 304,499 913,498 456,749 1,370,248 685,124 342,562 171,281 513,844 256,922 128,461 385,384 192,692 96,346 48,173 144,520 72,260 36,130 18,065 54,196 27,098

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