8,593,139

37 × 271 × 857

Starting at 8,593,139, the Collatz iteration reaches 1 after 155 steps. The first transition is 25779418; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 271 × 857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,868,288

Proper Divisor Sum 275,149

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8593129 ← → #8593147

Radix Representation

Decimal	8593139
Binary	100000110001111011110011 (24 bits)
Octal	0o40617363
Hexadecimal	0x831EF3

Divisor Catalog (8)

1 37 271 857 10,027 31,709 232,247 8,593,139

Collatz Trajectory (155 steps to reach 1)

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

8,593,139 25,779,418 12,889,709 38,669,128 19,334,564 9,667,282 4,833,641 14,500,924 7,250,462 3,625,231 10,875,694 5,437,847 16,313,542 8,156,771 24,470,314 12,235,157 36,705,472 18,352,736 9,176,368 4,588,184 2,294,092 1,147,046 573,523 1,720,570 860,285 2,580,856 1,290,428 645,214 322,607 967,822 483,911 1,451,734 725,867 2,177,602 1,088,801 3,266,404 1,633,202 816,601 2,449,804 1,224,902 612,451 1,837,354 918,677 2,756,032 1,378,016 689,008 344,504 172,252 86,126 43,063 129,190 64,595 193,786 96,893 290,680 145,340 72,670 36,335 109,006 54,503

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