1,328,886

2 × 3⁴ × 13 × 631

Starting at 1,328,886, the Collatz iteration reaches 1 after 217 steps. The first transition is 664443; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 13 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,211,824

Proper Divisor Sum 1,882,938

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1328863 ← → #1328891

Radix Representation

Decimal	1328886
Binary	101000100011011110110 (21 bits)
Octal	0o5043366
Hexadecimal	0x1446F6

Divisor Catalog (40)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 631 702 1,053 1,262 1,893 2,106 3,786 5,679 8,203 11,358 16,406 17,037 24,609 34,074 49,218 51,111 73,827 102,222 147,654 221,481 442,962 664,443 1,328,886

Collatz Trajectory (217 steps to reach 1)

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

1,328,886 664,443 1,993,330 996,665 2,989,996 1,494,998 747,499 2,242,498 1,121,249 3,363,748 1,681,874 840,937 2,522,812 1,261,406 630,703 1,892,110 946,055 2,838,166 1,419,083 4,257,250 2,128,625 6,385,876 3,192,938 1,596,469 4,789,408 2,394,704 1,197,352 598,676 299,338 149,669 449,008 224,504 112,252 56,126 28,063 84,190 42,095 126,286 63,143 189,430 94,715 284,146 142,073 426,220 213,110 106,555 319,666 159,833 479,500 239,750 119,875 359,626 179,813 539,440 269,720 134,860 67,430 33,715 101,146 50,573

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