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Ratio Atlas
Atlas › Integer Profiles › Node 772,500
772,500
22 × 3 × 54 × 103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^4 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 2,274,272
Proper Divisor Sum 1,501,772
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #772493 ← → #772517

Radix Representation

Decimal 772500
Binary 10111100100110010100 (20 bits)
Octal 0o2744624
Hexadecimal 0xBC994

Divisor Catalog (60)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 125 150 206 250 300 309 375 412 500 515 618 625 750 1,030 1,236 1,250 1,500 1,545 1,875 2,060 2,500 2,575 3,090 3,750 5,150 6,180 7,500 7,725 10,300 12,875 15,450 25,750 30,900 38,625 51,500 64,375 77,250 128,750 154,500 193,125 257,500 386,250 772,500

Collatz Trajectory (48 steps to reach 1)

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

772,500 386,250 193,125 579,376 289,688 144,844 72,422 36,211 108,634 54,317 162,952 81,476 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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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