1,027,873

7² × 11 × 1907

Starting at 1,027,873, the Collatz iteration reaches 1 after 59 steps. The first transition is 3083620; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 11 × 1907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,305,072

Proper Divisor Sum 277,199

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1027853 ← → #1027883

Radix Representation

Decimal	1027873
Binary	11111010111100100001 (20 bits)
Octal	0o3727441
Hexadecimal	0xFAF21

Divisor Catalog (12)

1 7 11 49 77 539 1,907 13,349 20,977 93,443 146,839 1,027,873

Collatz Trajectory (59 steps to reach 1)

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

1,027,873 3,083,620 1,541,810 770,905 2,312,716 1,156,358 578,179 1,734,538 867,269 2,601,808 1,300,904 650,452 325,226 162,613 487,840 243,920 121,960 60,980 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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