λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,945,986
36,945,986
2 × 7 × 11 × 31 × 71 × 109
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 11 × 31 × 71 × 109
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 72,990,720
Proper Divisor Sum 36,044,734
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #36945973 ← → #36945991

Radix Representation

Decimal 36945986
Binary 10001100111100000001000010 (26 bits)
Octal 0o214740102
Hexadecimal 0x233C042

Divisor Catalog (60 of 64)

1 2 7 11 14 22 31 62 71 77 109 142 154 217 218 341 434 497 682 763 781 994 1,199 1,526 1,562 2,201 2,387 2,398 3,379 4,402 4,774 5,467 6,758 7,739 8,393 10,934 15,407 15,478 16,786 23,653 24,211 30,814 37,169 47,306 48,422 54,173 74,338 85,129 108,346 169,477 170,258 239,909 260,183 338,954 479,818 520,366 595,903 1,191,806 1,679,363 2,638,999

Collatz Trajectory (271 steps to reach 1)

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

36,945,986 18,472,993 55,418,980 27,709,490 13,854,745 41,564,236 20,782,118 10,391,059 31,173,178 15,586,589 46,759,768 23,379,884 11,689,942 5,844,971 17,534,914 8,767,457 26,302,372 13,151,186 6,575,593 19,726,780 9,863,390 4,931,695 14,795,086 7,397,543 22,192,630 11,096,315 33,288,946 16,644,473 49,933,420 24,966,710 12,483,355 37,450,066 18,725,033 56,175,100 28,087,550 14,043,775 42,131,326 21,065,663 63,196,990 31,598,495 94,795,486 47,397,743 142,193,230 71,096,615 213,289,846 106,644,923 319,934,770 159,967,385 479,902,156 239,951,078 119,975,539 359,926,618 179,963,309 539,889,928 269,944,964 134,972,482 67,486,241 202,458,724 101,229,362 50,614,681

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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