λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,976,272
36,976,272
24 × 3 × 23 × 33493
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 33493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 99,678,144
Proper Divisor Sum 62,701,872
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36976271 ← → #36976297

Radix Representation

Decimal 36976272
Binary 10001101000011011010010000 (26 bits)
Octal 0o215033220
Hexadecimal 0x2343690

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,104 33,493 66,986 100,479 133,972 200,958 267,944 401,916 535,888 770,339 803,832 1,540,678 1,607,664 2,311,017 3,081,356 4,622,034 6,162,712 9,244,068 12,325,424 18,488,136 36,976,272

Collatz Trajectory (188 steps to reach 1)

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

36,976,272 18,488,136 9,244,068 4,622,034 2,311,017 6,933,052 3,466,526 1,733,263 5,199,790 2,599,895 7,799,686 3,899,843 11,699,530 5,849,765 17,549,296 8,774,648 4,387,324 2,193,662 1,096,831 3,290,494 1,645,247 4,935,742 2,467,871 7,403,614 3,701,807 11,105,422 5,552,711 16,658,134 8,329,067 24,987,202 12,493,601 37,480,804 18,740,402 9,370,201 28,110,604 14,055,302 7,027,651 21,082,954 10,541,477 31,624,432 15,812,216 7,906,108 3,953,054 1,976,527 5,929,582 2,964,791 8,894,374 4,447,187 13,341,562 6,670,781 20,012,344 10,006,172 5,003,086 2,501,543 7,504,630 3,752,315 11,256,946 5,628,473 16,885,420 8,442,710

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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