λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,739,731
36,739,731
3 × 7 × 41 × 71 × 601
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 41 × 71 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,254,336
Proper Divisor Sum 21,514,605
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36739721 ← → #36739753

Radix Representation

Decimal 36739731
Binary 10001100001001101010010011 (26 bits)
Octal 0o214115223
Hexadecimal 0x2309A93

Divisor Catalog (32)

1 3 7 21 41 71 123 213 287 497 601 861 1,491 1,803 2,911 4,207 8,733 12,621 20,377 24,641 42,671 61,131 73,923 128,013 172,487 298,697 517,461 896,091 1,749,511 5,248,533 12,246,577 36,739,731

Collatz Trajectory (165 steps to reach 1)

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

36,739,731 110,219,194 55,109,597 165,328,792 82,664,396 41,332,198 20,666,099 61,998,298 30,999,149 92,997,448 46,498,724 23,249,362 11,624,681 34,874,044 17,437,022 8,718,511 26,155,534 13,077,767 39,233,302 19,616,651 58,849,954 29,424,977 88,274,932 44,137,466 22,068,733 66,206,200 33,103,100 16,551,550 8,275,775 24,827,326 12,413,663 37,240,990 18,620,495 55,861,486 27,930,743 83,792,230 41,896,115 125,688,346 62,844,173 188,532,520 94,266,260 47,133,130 23,566,565 70,699,696 35,349,848 17,674,924 8,837,462 4,418,731 13,256,194 6,628,097 19,884,292 9,942,146 4,971,073 14,913,220 7,456,610 3,728,305 11,184,916 5,592,458 2,796,229 8,388,688

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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