7,963,326

2 × 3³ × 7 × 21067

Starting at 7,963,326, the Collatz iteration reaches 1 after 186 steps. The first transition is 3981663; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 21067

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,225,280

Proper Divisor Sum 12,261,954

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7963321 ← → #7963343

Radix Representation

Decimal	7963326
Binary	11110011000001010111110 (23 bits)
Octal	0o36301276
Hexadecimal	0x7982BE

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 21,067 42,134 63,201 126,402 147,469 189,603 294,938 379,206 442,407 568,809 884,814 1,137,618 1,327,221 2,654,442 3,981,663 7,963,326

Collatz Trajectory (186 steps to reach 1)

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

7,963,326 3,981,663 11,944,990 5,972,495 17,917,486 8,958,743 26,876,230 13,438,115 40,314,346 20,157,173 60,471,520 30,235,760 15,117,880 7,558,940 3,779,470 1,889,735 5,669,206 2,834,603 8,503,810 4,251,905 12,755,716 6,377,858 3,188,929 9,566,788 4,783,394 2,391,697 7,175,092 3,587,546 1,793,773 5,381,320 2,690,660 1,345,330 672,665 2,017,996 1,008,998 504,499 1,513,498 756,749 2,270,248 1,135,124 567,562 283,781 851,344 425,672 212,836 106,418 53,209 159,628 79,814 39,907 119,722 59,861 179,584 89,792 44,896 22,448 11,224 5,612 2,806 1,403

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