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Ratio Atlas
Atlas › Integer Profiles › Node 77,400
77,400
23 × 32 × 52 × 43
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 265,980
Proper Divisor Sum 188,580
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #77383 ← → #77417

Radix Representation

Decimal 77400
Binary 10010111001011000 (17 bits)
Octal 0o227130
Hexadecimal 0x12E58

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 774 860 900 1,032 1,075 1,290 1,548 1,720 1,800 1,935 2,150 2,580 3,096 3,225 3,870

Collatz Trajectory (76 steps to reach 1)

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

77,400 38,700 19,350 9,675 29,026 14,513 43,540 21,770 10,885 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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