λ
Sequence Observatory

6,518,915

5 × 13 × 100291
Deficient Odd Composite

Starting at 6,518,915, the Collatz iteration reaches 1 after 209 steps. The first transition is 19556746; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 100291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,424,528
Proper Divisor Sum 1,905,613
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6518893 ← → #6518933

Radix Representation

Decimal 6518915
Binary 11000110111100010000011 (23 bits)
Octal 0o30674203
Hexadecimal 0x637883

Divisor Catalog (8)

1 5 13 65 100,291 501,455 1,303,783 6,518,915

Collatz Trajectory (209 steps to reach 1)

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

6,518,915 19,556,746 9,778,373 29,335,120 14,667,560 7,333,780 3,666,890 1,833,445 5,500,336 2,750,168 1,375,084 687,542 343,771 1,031,314 515,657 1,546,972 773,486 386,743 1,160,230 580,115 1,740,346 870,173 2,610,520 1,305,260 652,630 326,315 978,946 489,473 1,468,420 734,210 367,105 1,101,316 550,658 275,329 825,988 412,994 206,497 619,492 309,746 154,873 464,620 232,310 116,155 348,466 174,233 522,700 261,350 130,675 392,026 196,013 588,040 294,020 147,010 73,505 220,516 110,258 55,129 165,388 82,694 41,347

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