λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,086,280
4,086,280
23 × 5 × 11 × 37 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 37 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,342,080
Proper Divisor Sum 6,255,800
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4086253 ← → #4086287

Radix Representation

Decimal 4086280
Binary 1111100101101000001000 (22 bits)
Octal 0o17455010
Hexadecimal 0x3E5A08

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 251 296 370 407 440 502 740 814 1,004 1,255 1,480 1,628 2,008 2,035 2,510 2,761 3,256 4,070 5,020 5,522 8,140 9,287 10,040 11,044 13,805 16,280 18,574 22,088 27,610 37,148 46,435 55,220 74,296 92,870 102,157 110,440 185,740 204,314 371,480 408,628 510,785

Collatz Trajectory (105 steps to reach 1)

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

4,086,280 2,043,140 1,021,570 510,785 1,532,356 766,178 383,089 1,149,268 574,634 287,317 861,952 430,976 215,488 107,744 53,872 26,936 13,468 6,734 3,367 10,102 5,051 15,154 7,577 22,732 11,366 5,683 17,050 8,525 25,576 12,788 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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