1,002,795

3 × 5 × 66853

Starting at 1,002,795, the Collatz iteration reaches 1 after 165 steps. The first transition is 3008386; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 66853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,604,496

Proper Divisor Sum 601,701

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1002787 ← → #1002797

Radix Representation

Decimal	1002795
Binary	11110100110100101011 (20 bits)
Octal	0o3646453
Hexadecimal	0xF4D2B

Divisor Catalog (8)

1 3 5 15 66,853 200,559 334,265 1,002,795

Collatz Trajectory (165 steps to reach 1)

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

1,002,795 3,008,386 1,504,193 4,512,580 2,256,290 1,128,145 3,384,436 1,692,218 846,109 2,538,328 1,269,164 634,582 317,291 951,874 475,937 1,427,812 713,906 356,953 1,070,860 535,430 267,715 803,146 401,573 1,204,720 602,360 301,180 150,590 75,295 225,886 112,943 338,830 169,415 508,246 254,123 762,370 381,185 1,143,556 571,778 285,889 857,668 428,834 214,417 643,252 321,626 160,813 482,440 241,220 120,610 60,305 180,916 90,458 45,229 135,688 67,844 33,922 16,961 50,884 25,442 12,721 38,164

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