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Ratio Atlas
Atlas › Integer Profiles › Node 712,960
712,960
28 × 5 × 557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 5 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,710,828
Proper Divisor Sum 997,868
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #712951 ← → #712961

Radix Representation

Decimal 712960
Binary 10101110000100000000 (20 bits)
Octal 0o2560400
Hexadecimal 0xAE100

Divisor Catalog (36)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 557 640 1,114 1,280 2,228 2,785 4,456 5,570 8,912 11,140 17,824 22,280 35,648 44,560 71,296 89,120 142,592 178,240 356,480 712,960

Collatz Trajectory (74 steps to reach 1)

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

712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22

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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