λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,928,200
3,928,200
23 × 3 × 52 × 6547
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 6547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,179,280
Proper Divisor Sum 8,251,080
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3928189 ← → #3928229

Radix Representation

Decimal 3928200
Binary 1110111111000010001000 (22 bits)
Octal 0o16770210
Hexadecimal 0x3BF088

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 6,547 13,094 19,641 26,188 32,735 39,282 52,376 65,470 78,564 98,205 130,940 157,128 163,675 196,410 261,880 327,350 392,820 491,025 654,700 785,640 982,050 1,309,400 1,964,100 3,928,200

Collatz Trajectory (141 steps to reach 1)

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

3,928,200 1,964,100 982,050 491,025 1,473,076 736,538 368,269 1,104,808 552,404 276,202 138,101 414,304 207,152 103,576 51,788 25,894 12,947 38,842 19,421 58,264 29,132 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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