λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,296,720
1,296,720
24 × 32 × 5 × 1801
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 1801
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,357,236
Proper Divisor Sum 3,060,516
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1296703 ← → #1296721

Radix Representation

Decimal 1296720
Binary 100111100100101010000 (21 bits)
Octal 0o4744520
Hexadecimal 0x13C950

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1,801 3,602 5,403 7,204 9,005 10,806 14,408 16,209 18,010 21,612 27,015 28,816 32,418 36,020 43,224 54,030 64,836 72,040 81,045 86,448 108,060 129,672 144,080 162,090 216,120 259,344 324,180 432,240 648,360 1,296,720

Collatz Trajectory (80 steps to reach 1)

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

1,296,720 648,360 324,180 162,090 81,045 243,136 121,568 60,784 30,392 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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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