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Ratio Atlas
Atlas › Integer Profiles › Node 403,680
403,680
25 × 3 × 5 × 292
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 29^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 1,316,952
Proper Divisor Sum 913,272
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #403679 ← → #403681

Radix Representation

Decimal 403680
Binary 1100010100011100000 (19 bits)
Octal 0o1424340
Hexadecimal 0x628E0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 841 870 928 1,160 1,392 1,682 1,740 2,320 2,523 2,784 3,364 3,480 4,205 4,640 5,046 6,728 6,960 8,410 10,092 12,615 13,456 13,920 16,820

Collatz Trajectory (68 steps to reach 1)

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

403,680 201,840 100,920 50,460 25,230 12,615 37,846 18,923 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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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