λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,940,320
3,940,320
25 × 3 × 5 × 8209
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 8209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,413,520
Proper Divisor Sum 8,473,200
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3940319 ← → #3940351

Radix Representation

Decimal 3940320
Binary 1111000001111111100000 (22 bits)
Octal 0o17017740
Hexadecimal 0x3C1FE0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8,209 16,418 24,627 32,836 41,045 49,254 65,672 82,090 98,508 123,135 131,344 164,180 197,016 246,270 262,688 328,360 394,032 492,540 656,720 788,064 985,080 1,313,440 1,970,160 3,940,320

Collatz Trajectory (185 steps to reach 1)

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

3,940,320 1,970,160 985,080 492,540 246,270 123,135 369,406 184,703 554,110 277,055 831,166 415,583 1,246,750 623,375 1,870,126 935,063 2,805,190 1,402,595 4,207,786 2,103,893 6,311,680 3,155,840 1,577,920 788,960 394,480 197,240 98,620 49,310 24,655 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702 5,851 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000

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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