λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,617,400
11,617,400
23 × 52 × 29 × 2003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 29 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,955,800
Proper Divisor Sum 16,338,400
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #11617393 ← → #11617423

Radix Representation

Decimal 11617400
Binary 101100010100010001111000 (24 bits)
Octal 0o54242170
Hexadecimal 0xB14478

Divisor Catalog (48)

1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1,160 1,450 2,003 2,900 4,006 5,800 8,012 10,015 16,024 20,030 40,060 50,075 58,087 80,120 100,150 116,174 200,300 232,348 290,435 400,600 464,696 580,870 1,161,740 1,452,175 2,323,480 2,904,350 5,808,700 11,617,400

Collatz Trajectory (96 steps to reach 1)

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

11,617,400 5,808,700 2,904,350 1,452,175 4,356,526 2,178,263 6,534,790 3,267,395 9,802,186 4,901,093 14,703,280 7,351,640 3,675,820 1,837,910 918,955 2,756,866 1,378,433 4,135,300 2,067,650 1,033,825 3,101,476 1,550,738 775,369 2,326,108 1,163,054 581,527 1,744,582 872,291 2,616,874 1,308,437 3,925,312 1,962,656 981,328 490,664 245,332 122,666 61,333 184,000 92,000 46,000 23,000 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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