λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,200,280
4,200,280
23 × 5 × 72 × 2143
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,998,720
Proper Divisor Sum 6,798,440
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4200263 ← → #4200299

Radix Representation

Decimal 4200280
Binary 10000000001011101011000 (23 bits)
Octal 0o20013530
Hexadecimal 0x401758

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1,960 2,143 4,286 8,572 10,715 15,001 17,144 21,430 30,002 42,860 60,004 75,005 85,720 105,007 120,008 150,010 210,014 300,020 420,028 525,035 600,040 840,056 1,050,070 2,100,140 4,200,280

Collatz Trajectory (61 steps to reach 1)

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

4,200,280 2,100,140 1,050,070 525,035 1,575,106 787,553 2,362,660 1,181,330 590,665 1,771,996 885,998 442,999 1,328,998 664,499 1,993,498 996,749 2,990,248 1,495,124 747,562 373,781 1,121,344 560,672 280,336 140,168 70,084 35,042 17,521 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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