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Ratio Atlas
Atlas › Integer Profiles › Node 6,720,165
6,720,165
35 × 5 × 5531
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5 × 5531
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,081,888
Proper Divisor Sum 5,361,723
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6720157 ← → #6720173

Radix Representation

Decimal 6720165
Binary 11001101000101010100101 (23 bits)
Octal 0o31505245
Hexadecimal 0x668AA5

Divisor Catalog (24)

1 3 5 9 15 27 45 81 135 243 405 1,215 5,531 16,593 27,655 49,779 82,965 149,337 248,895 448,011 746,685 1,344,033 2,240,055 6,720,165

Collatz Trajectory (253 steps to reach 1)

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

6,720,165 20,160,496 10,080,248 5,040,124 2,520,062 1,260,031 3,780,094 1,890,047 5,670,142 2,835,071 8,505,214 4,252,607 12,757,822 6,378,911 19,136,734 9,568,367 28,705,102 14,352,551 43,057,654 21,528,827 64,586,482 32,293,241 96,879,724 48,439,862 24,219,931 72,659,794 36,329,897 108,989,692 54,494,846 27,247,423 81,742,270 40,871,135 122,613,406 61,306,703 183,920,110 91,960,055 275,880,166 137,940,083 413,820,250 206,910,125 620,730,376 310,365,188 155,182,594 77,591,297 232,773,892 116,386,946 58,193,473 174,580,420 87,290,210 43,645,105 130,935,316 65,467,658 32,733,829 98,201,488 49,100,744 24,550,372 12,275,186 6,137,593 18,412,780 9,206,390

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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