8,011,946

2 × 29 × 107 × 1291

Starting at 8,011,946, the Collatz iteration reaches 1 after 168 steps. The first transition is 4005973; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 107 × 1291

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,558,240

Proper Divisor Sum 4,546,294

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8011937 ← → #8011951

Radix Representation

Decimal	8011946
Binary	11110100100000010101010 (23 bits)
Octal	0o36440252
Hexadecimal	0x7A40AA

Divisor Catalog (16)

1 2 29 58 107 214 1,291 2,582 3,103 6,206 37,439 74,878 138,137 276,274 4,005,973 8,011,946

Collatz Trajectory (168 steps to reach 1)

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

8,011,946 4,005,973 12,017,920 6,008,960 3,004,480 1,502,240 751,120 375,560 187,780 93,890 46,945 140,836 70,418 35,209 105,628 52,814 26,407 79,222 39,611 118,834 59,417 178,252 89,126 44,563 133,690 66,845 200,536 100,268 50,134 25,067 75,202 37,601 112,804 56,402 28,201 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162 107,081 321,244 160,622 80,311 240,934 120,467 361,402 180,701 542,104 271,052 135,526 67,763 203,290 101,645 304,936

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