2,256,755

5 × 601 × 751

Starting at 2,256,755, the Collatz iteration reaches 1 after 254 steps. The first transition is 6770266; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 601 × 751

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,716,224

Proper Divisor Sum 459,469

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2256743 ← → #2256781

Radix Representation

Decimal	2256755
Binary	1000100110111101110011 (22 bits)
Octal	0o10467563
Hexadecimal	0x226F73

Divisor Catalog (8)

1 5 601 751 3,005 3,755 451,351 2,256,755

Collatz Trajectory (254 steps to reach 1)

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

2,256,755 6,770,266 3,385,133 10,155,400 5,077,700 2,538,850 1,269,425 3,808,276 1,904,138 952,069 2,856,208 1,428,104 714,052 357,026 178,513 535,540 267,770 133,885 401,656 200,828 100,414 50,207 150,622 75,311 225,934 112,967 338,902 169,451 508,354 254,177 762,532 381,266 190,633 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878 1,221,439 3,664,318 1,832,159 5,496,478 2,748,239 8,244,718 4,122,359 12,367,078 6,183,539 18,550,618

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