λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,101,366
8,101,366
2 × 72 × 13 × 6359
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 6359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,225,840
Proper Divisor Sum 7,124,474
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8101363 ← → #8101369

Radix Representation

Decimal 8101366
Binary 11110111001110111110110 (23 bits)
Octal 0o36716766
Hexadecimal 0x7B9DF6

Divisor Catalog (24)

1 2 7 13 14 26 49 91 98 182 637 1,274 6,359 12,718 44,513 82,667 89,026 165,334 311,591 578,669 623,182 1,157,338 4,050,683 8,101,366

Collatz Trajectory (111 steps to reach 1)

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

8,101,366 4,050,683 12,152,050 6,076,025 18,228,076 9,114,038 4,557,019 13,671,058 6,835,529 20,506,588 10,253,294 5,126,647 15,379,942 7,689,971 23,069,914 11,534,957 34,604,872 17,302,436 8,651,218 4,325,609 12,976,828 6,488,414 3,244,207 9,732,622 4,866,311 14,598,934 7,299,467 21,898,402 10,949,201 32,847,604 16,423,802 8,211,901 24,635,704 12,317,852 6,158,926 3,079,463 9,238,390 4,619,195 13,857,586 6,928,793 20,786,380 10,393,190 5,196,595 15,589,786 7,794,893 23,384,680 11,692,340 5,846,170 2,923,085 8,769,256 4,384,628 2,192,314 1,096,157 3,288,472 1,644,236 822,118 411,059 1,233,178 616,589 1,849,768

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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