1,798,329

3 × 13² × 3547

Starting at 1,798,329, the Collatz iteration reaches 1 after 251 steps. The first transition is 5394988; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 13^2 × 3547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,597,136

Proper Divisor Sum 798,807

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1798327 ← → #1798333

Radix Representation

Decimal	1798329
Binary	110110111000010111001 (21 bits)
Octal	0o6670271
Hexadecimal	0x1B70B9

Divisor Catalog (12)

1 3 13 39 169 507 3,547 10,641 46,111 138,333 599,443 1,798,329

Collatz Trajectory (251 steps to reach 1)

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

1,798,329 5,394,988 2,697,494 1,348,747 4,046,242 2,023,121 6,069,364 3,034,682 1,517,341 4,552,024 2,276,012 1,138,006 569,003 1,707,010 853,505 2,560,516 1,280,258 640,129 1,920,388 960,194 480,097 1,440,292 720,146 360,073 1,080,220 540,110 270,055 810,166 405,083 1,215,250 607,625 1,822,876 911,438 455,719 1,367,158 683,579 2,050,738 1,025,369 3,076,108 1,538,054 769,027 2,307,082 1,153,541 3,460,624 1,730,312 865,156 432,578 216,289 648,868 324,434 162,217 486,652 243,326 121,663 364,990 182,495 547,486 273,743 821,230 410,615

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