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Ratio Atlas
Atlas › Integer Profiles › Node 710,400
710,400
28 × 3 × 52 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 5^2 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 2,407,832
Proper Divisor Sum 1,697,432
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #710399 ← → #710441

Radix Representation

Decimal 710400
Binary 10101101011100000000 (20 bits)
Octal 0o2553400
Hexadecimal 0xAD700

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 128 148 150 160 185 192 200 222 240 256 296 300 320 370 384 400 444 480 555 592 600 640 740 768 800 888 925 960 1,110 1,184 1,200

Collatz Trajectory (74 steps to reach 1)

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

710,400 355,200 177,600 88,800 44,400 22,200 11,100 5,550 2,775 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 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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