6,328,406

2 × 7 × 19 × 37 × 643

Starting at 6,328,406, the Collatz iteration reaches 1 after 126 steps. The first transition is 3164203; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 37 × 643

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,746,560

Proper Divisor Sum 5,418,154

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6328367 ← → #6328411

Radix Representation

Decimal	6328406
Binary	11000001001000001010110 (23 bits)
Octal	0o30110126
Hexadecimal	0x609056

Divisor Catalog (32)

1 2 7 14 19 37 38 74 133 259 266 518 643 703 1,286 1,406 4,501 4,921 9,002 9,842 12,217 23,791 24,434 47,582 85,519 166,537 171,038 333,074 452,029 904,058 3,164,203 6,328,406

Collatz Trajectory (126 steps to reach 1)

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

6,328,406 3,164,203 9,492,610 4,746,305 14,238,916 7,119,458 3,559,729 10,679,188 5,339,594 2,669,797 8,009,392 4,004,696 2,002,348 1,001,174 500,587 1,501,762 750,881 2,252,644 1,126,322 563,161 1,689,484 844,742 422,371 1,267,114 633,557 1,900,672 950,336 475,168 237,584 118,792 59,396 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156

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