λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,901,720
12,901,720
23 × 5 × 13 × 43 × 577
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 43 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 32,044,320
Proper Divisor Sum 19,142,600
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #12901717 ← → #12901729

Radix Representation

Decimal 12901720
Binary 110001001101110101011000 (24 bits)
Octal 0o61156530
Hexadecimal 0xC4DD58

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 577 860 1,118 1,154 1,720 2,236 2,308 2,795 2,885 4,472 4,616 5,590 5,770 7,501 11,180 11,540 15,002 22,360 23,080 24,811 30,004 37,505 49,622 60,008 75,010 99,244 124,055 150,020 198,488 248,110 300,040 322,543 496,220 645,086 992,440 1,290,172 1,612,715

Collatz Trajectory (78 steps to reach 1)

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

12,901,720 6,450,860 3,225,430 1,612,715 4,838,146 2,419,073 7,257,220 3,628,610 1,814,305 5,442,916 2,721,458 1,360,729 4,082,188 2,041,094 1,020,547 3,061,642 1,530,821 4,592,464 2,296,232 1,148,116 574,058 287,029 861,088 430,544 215,272 107,636 53,818 26,909 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648

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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