6,852,382

2 × 1277 × 2683

Starting at 6,852,382, the Collatz iteration reaches 1 after 160 steps. The first transition is 3426191; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1277 × 2683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,290,456

Proper Divisor Sum 3,438,074

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6852379 ← → #6852389

Radix Representation

Decimal	6852382
Binary	11010001000111100011110 (23 bits)
Octal	0o32107436
Hexadecimal	0x688F1E

Divisor Catalog (8)

1 2 1,277 2,554 2,683 5,366 3,426,191 6,852,382

Collatz Trajectory (160 steps to reach 1)

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

6,852,382 3,426,191 10,278,574 5,139,287 15,417,862 7,708,931 23,126,794 11,563,397 34,690,192 17,345,096 8,672,548 4,336,274 2,168,137 6,504,412 3,252,206 1,626,103 4,878,310 2,439,155 7,317,466 3,658,733 10,976,200 5,488,100 2,744,050 1,372,025 4,116,076 2,058,038 1,029,019 3,087,058 1,543,529 4,630,588 2,315,294 1,157,647 3,472,942 1,736,471 5,209,414 2,604,707 7,814,122 3,907,061 11,721,184 5,860,592 2,930,296 1,465,148 732,574 366,287 1,098,862 549,431 1,648,294 824,147 2,472,442 1,236,221 3,708,664 1,854,332 927,166 463,583 1,390,750 695,375 2,086,126 1,043,063 3,129,190 1,564,595

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