λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,100,280
2,100,280
23 × 5 × 7 × 13 × 577
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,826,240
Proper Divisor Sum 3,725,960
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2100277 ← → #2100313

Radix Representation

Decimal 2100280
Binary 1000000000110000111000 (22 bits)
Octal 0o10006070
Hexadecimal 0x200C38

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 577 728 910 1,154 1,820 2,308 2,885 3,640 4,039 4,616 5,770 7,501 8,078 11,540 15,002 16,156 20,195 23,080 30,004 32,312 37,505 40,390 52,507 60,008 75,010 80,780 105,014 150,020 161,560 210,028 262,535 300,040

Collatz Trajectory (91 steps to reach 1)

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

2,100,280 1,050,140 525,070 262,535 787,606 393,803 1,181,410 590,705 1,772,116 886,058 443,029 1,329,088 664,544 332,272 166,136 83,068 41,534 20,767 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137 315,412 157,706 78,853 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846 5,923 17,770 8,885 26,656 13,328

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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