6,816,355

5 × 7 × 13 × 71 × 211

Starting at 6,816,355, the Collatz iteration reaches 1 after 222 steps. The first transition is 20449066; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 71 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,257,408

Proper Divisor Sum 3,441,053

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6816331 ← → #6816361

Radix Representation

Decimal	6816355
Binary	11010000000001001100011 (23 bits)
Octal	0o32001143
Hexadecimal	0x680263

Divisor Catalog (32)

1 5 7 13 35 65 71 91 211 355 455 497 923 1,055 1,477 2,485 2,743 4,615 6,461 7,385 13,715 14,981 19,201 32,305 74,905 96,005 104,867 194,753 524,335 973,765 1,363,271 6,816,355

Collatz Trajectory (222 steps to reach 1)

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

6,816,355 20,449,066 10,224,533 30,673,600 15,336,800 7,668,400 3,834,200 1,917,100 958,550 479,275 1,437,826 718,913 2,156,740 1,078,370 539,185 1,617,556 808,778 404,389 1,213,168 606,584 303,292 151,646 75,823 227,470 113,735 341,206 170,603 511,810 255,905 767,716 383,858 191,929 575,788 287,894 143,947 431,842 215,921 647,764 323,882 161,941 485,824 242,912 121,456 60,728 30,364 15,182 7,591 22,774 11,387 34,162 17,081 51,244 25,622 12,811 38,434 19,217 57,652 28,826 14,413 43,240

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