λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,371,040
12,371,040
25 × 32 × 5 × 112 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 11^2 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 216
Divisor Sum (σ) 47,056,464
Proper Divisor Sum 34,685,424
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #12371039 ← → #12371113

Radix Representation

Decimal 12371040
Binary 101111001100010001100000 (24 bits)
Octal 0o57142140
Hexadecimal 0xBCC460

Divisor Catalog (60 of 216)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 71 72 80 88 90 96 99 110 120 121 132 142 144 160 165 176 180 198 213 220 240 242 264 284 288 330 352 355 360 363 396 426

Collatz Trajectory (52 steps to reach 1)

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

12,371,040 6,185,520 3,092,760 1,546,380 773,190 386,595 1,159,786 579,893 1,739,680 869,840 434,920 217,460 108,730 54,365 163,096 81,548 40,774 20,387 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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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