6,819,292

2² × 29 × 58787

Starting at 6,819,292, the Collatz iteration reaches 1 after 284 steps. The first transition is 3409646; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 58787

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,345,480

Proper Divisor Sum 5,526,188

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6819289 ← → #6819299

Radix Representation

Decimal	6819292
Binary	11010000000110111011100 (23 bits)
Octal	0o32006734
Hexadecimal	0x680DDC

Divisor Catalog (12)

1 2 4 29 58 116 58,787 117,574 235,148 1,704,823 3,409,646 6,819,292

Collatz Trajectory (284 steps to reach 1)

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

6,819,292 3,409,646 1,704,823 5,114,470 2,557,235 7,671,706 3,835,853 11,507,560 5,753,780 2,876,890 1,438,445 4,315,336 2,157,668 1,078,834 539,417 1,618,252 809,126 404,563 1,213,690 606,845 1,820,536 910,268 455,134 227,567 682,702 341,351 1,024,054 512,027 1,536,082 768,041 2,304,124 1,152,062 576,031 1,728,094 864,047 2,592,142 1,296,071 3,888,214 1,944,107 5,832,322 2,916,161 8,748,484 4,374,242 2,187,121 6,561,364 3,280,682 1,640,341 4,921,024 2,460,512 1,230,256 615,128 307,564 153,782 76,891 230,674 115,337 346,012 173,006 86,503 259,510

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