λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,928,064
3,928,064
212 × 7 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^12 × 7 × 137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 52
Divisor Sum (σ) 9,042,864
Proper Divisor Sum 5,114,800
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3928049 ← → #3928069

Radix Representation

Decimal 3928064
Binary 1110111111000000000000 (22 bits)
Octal 0o16770000
Hexadecimal 0x3BF000

Divisor Catalog (52)

1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 512 548 896 959 1,024 1,096 1,792 1,918 2,048 2,192 3,584 3,836 4,096 4,384 7,168 7,672 8,768 14,336 15,344 17,536 28,672 30,688 35,072 61,376 70,144 122,752 140,288 245,504 280,576 491,008 561,152 982,016 1,964,032 3,928,064

Collatz Trajectory (141 steps to reach 1)

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

3,928,064 1,964,032 982,016 491,008 245,504 122,752 61,376 30,688 15,344 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700

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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