8,011,630

2 × 5 × 11 × 173 × 421

Starting at 8,011,630, the Collatz iteration reaches 1 after 168 steps. The first transition is 4005815; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 173 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,860,448

Proper Divisor Sum 7,848,818

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #8011621 ← → #8011643

Radix Representation

Decimal	8011630
Binary	11110100011111101101110 (23 bits)
Octal	0o36437556
Hexadecimal	0x7A3F6E

Divisor Catalog (32)

1 2 5 10 11 22 55 110 173 346 421 842 865 1,730 1,903 2,105 3,806 4,210 4,631 9,262 9,515 19,030 23,155 46,310 72,833 145,666 364,165 728,330 801,163 1,602,326 4,005,815 8,011,630

Collatz Trajectory (168 steps to reach 1)

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

8,011,630 4,005,815 12,017,446 6,008,723 18,026,170 9,013,085 27,039,256 13,519,628 6,759,814 3,379,907 10,139,722 5,069,861 15,209,584 7,604,792 3,802,396 1,901,198 950,599 2,851,798 1,425,899 4,277,698 2,138,849 6,416,548 3,208,274 1,604,137 4,812,412 2,406,206 1,203,103 3,609,310 1,804,655 5,413,966 2,706,983 8,120,950 4,060,475 12,181,426 6,090,713 18,272,140 9,136,070 4,568,035 13,704,106 6,852,053 20,556,160 10,278,080 5,139,040 2,569,520 1,284,760 642,380 321,190 160,595 481,786 240,893 722,680 361,340 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883

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