λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,821,040
1,821,040
24 × 5 × 13 × 17 × 103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 17 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 4,874,688
Proper Divisor Sum 3,053,648
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1821037 ← → #1821067

Radix Representation

Decimal 1821040
Binary 110111100100101110000 (21 bits)
Octal 0o6744560
Hexadecimal 0x1BC970

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 103 104 130 136 170 206 208 221 260 272 340 412 442 515 520 680 824 884 1,030 1,040 1,105 1,339 1,360 1,648 1,751 1,768 2,060 2,210 2,678 3,502 3,536 4,120 4,420 5,356 6,695 7,004 8,240 8,755 8,840 10,712 13,390 14,008

Collatz Trajectory (57 steps to reach 1)

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

1,821,040 910,520 455,260 227,630 113,815 341,446 170,723 512,170 256,085 768,256 384,128 192,064 96,032 48,016 24,008 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 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 #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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