6,909,471

3² × 443 × 1733

Starting at 6,909,471, the Collatz iteration reaches 1 after 191 steps. The first transition is 20728414; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 443 × 1733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,008,648

Proper Divisor Sum 3,099,177

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6909467 ← → #6909473

Radix Representation

Decimal	6909471
Binary	11010010110111000011111 (23 bits)
Octal	0o32267037
Hexadecimal	0x696E1F

Divisor Catalog (12)

1 3 9 443 1,329 1,733 3,987 5,199 15,597 767,719 2,303,157 6,909,471

Collatz Trajectory (191 steps to reach 1)

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

6,909,471 20,728,414 10,364,207 31,092,622 15,546,311 46,638,934 23,319,467 69,958,402 34,979,201 104,937,604 52,468,802 26,234,401 78,703,204 39,351,602 19,675,801 59,027,404 29,513,702 14,756,851 44,270,554 22,135,277 66,405,832 33,202,916 16,601,458 8,300,729 24,902,188 12,451,094 6,225,547 18,676,642 9,338,321 28,014,964 14,007,482 7,003,741 21,011,224 10,505,612 5,252,806 2,626,403 7,879,210 3,939,605 11,818,816 5,909,408 2,954,704 1,477,352 738,676 369,338 184,669 554,008 277,004 138,502 69,251 207,754 103,877 311,632 155,816 77,908 38,954 19,477 58,432 29,216 14,608 7,304

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