λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,988,545
36,988,545
3 × 5 × 11 × 373 × 601
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 373 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,842,624
Proper Divisor Sum 27,854,079
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36988463 ← → #36988547

Radix Representation

Decimal 36988545
Binary 10001101000110011010000001 (26 bits)
Octal 0o215063201
Hexadecimal 0x2346681

Divisor Catalog (32)

1 3 5 11 15 33 55 165 373 601 1,119 1,803 1,865 3,005 4,103 5,595 6,611 9,015 12,309 19,833 20,515 33,055 61,545 99,165 224,173 672,519 1,120,865 2,465,903 3,362,595 7,397,709 12,329,515 36,988,545

Collatz Trajectory (214 steps to reach 1)

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

36,988,545 110,965,636 55,482,818 27,741,409 83,224,228 41,612,114 20,806,057 62,418,172 31,209,086 15,604,543 46,813,630 23,406,815 70,220,446 35,110,223 105,330,670 52,665,335 157,996,006 78,998,003 236,994,010 118,497,005 355,491,016 177,745,508 88,872,754 44,436,377 133,309,132 66,654,566 33,327,283 99,981,850 49,990,925 149,972,776 74,986,388 37,493,194 18,746,597 56,239,792 28,119,896 14,059,948 7,029,974 3,514,987 10,544,962 5,272,481 15,817,444 7,908,722 3,954,361 11,863,084 5,931,542 2,965,771 8,897,314 4,448,657 13,345,972 6,672,986 3,336,493 10,009,480 5,004,740 2,502,370 1,251,185 3,753,556 1,876,778 938,389 2,815,168 1,407,584

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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