8,093,043

3² × 7 × 128461

8,093,043 factors as 3^2 × 7 × 128461. Its 12 positive divisors give a proper-divisor sum of 5,267,005, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 128461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,360,048

Proper Divisor Sum 5,267,005

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8093027 ← → #8093083

Radix Representation

Decimal	8093043
Binary	11110110111110101110011 (23 bits)
Octal	0o36676563
Hexadecimal	0x7B7D73

Divisor Catalog (12)

1 3 7 9 21 63 128,461 385,383 899,227 1,156,149 2,697,681 8,093,043

Collatz Trajectory (93 steps to reach 1)

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

8,093,043 24,279,130 12,139,565 36,418,696 18,209,348 9,104,674 4,552,337 13,657,012 6,828,506 3,414,253 10,242,760 5,121,380 2,560,690 1,280,345 3,841,036 1,920,518 960,259 2,880,778 1,440,389 4,321,168 2,160,584 1,080,292 540,146 270,073 810,220 405,110 202,555 607,666 303,833 911,500 455,750 227,875 683,626 341,813 1,025,440 512,720 256,360 128,180 64,090 32,045 96,136 48,068 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238

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