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Ratio Atlas
Atlas › Integer Profiles › Node 712,600
712,600
23 × 52 × 7 × 509
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,897,200
Proper Divisor Sum 1,184,600
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #712573 ← → #712601

Radix Representation

Decimal 712600
Binary 10101101111110011000 (20 bits)
Octal 0o2557630
Hexadecimal 0xADF98

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 509 700 1,018 1,400 2,036 2,545 3,563 4,072 5,090 7,126 10,180 12,725 14,252 17,815 20,360 25,450 28,504 35,630 50,900 71,260 89,075 101,800 142,520 178,150 356,300 712,600

Collatz Trajectory (74 steps to reach 1)

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

712,600 356,300 178,150 89,075 267,226 133,613 400,840 200,420 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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