λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,664,800
11,664,800
25 × 52 × 7 × 2083
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 32,560,416
Proper Divisor Sum 20,895,616
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11664799 ← → #11664811

Radix Representation

Decimal 11664800
Binary 101100011111110110100000 (24 bits)
Octal 0o54376640
Hexadecimal 0xB1FDA0

Divisor Catalog (60 of 72)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1,120 1,400 2,083 2,800 4,166 5,600 8,332 10,415 14,581 16,664 20,830 29,162 33,328 41,660 52,075 58,324 66,656 72,905 83,320 104,150 116,648 145,810 166,640 208,300 233,296 291,620 333,280 364,525

Collatz Trajectory (215 steps to reach 1)

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

11,664,800 5,832,400 2,916,200 1,458,100 729,050 364,525 1,093,576 546,788 273,394 136,697 410,092 205,046 102,523 307,570 153,785 461,356 230,678 115,339 346,018 173,009 519,028 259,514 129,757 389,272 194,636 97,318 48,659 145,978 72,989 218,968 109,484 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972 147,986 73,993

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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