λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,930,270
36,930,270
2 × 3 × 5 × 13 × 94693
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 94693
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,451,552
Proper Divisor Sum 58,521,282
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36930259 ← → #36930277

Radix Representation

Decimal 36930270
Binary 10001100111000001011011110 (26 bits)
Octal 0o214701336
Hexadecimal 0x23382DE

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 94,693 189,386 284,079 473,465 568,158 946,930 1,231,009 1,420,395 2,462,018 2,840,790 3,693,027 6,155,045 7,386,054 12,310,090 18,465,135 36,930,270

Collatz Trajectory (165 steps to reach 1)

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

36,930,270 18,465,135 55,395,406 27,697,703 83,093,110 41,546,555 124,639,666 62,319,833 186,959,500 93,479,750 46,739,875 140,219,626 70,109,813 210,329,440 105,164,720 52,582,360 26,291,180 13,145,590 6,572,795 19,718,386 9,859,193 29,577,580 14,788,790 7,394,395 22,183,186 11,091,593 33,274,780 16,637,390 8,318,695 24,956,086 12,478,043 37,434,130 18,717,065 56,151,196 28,075,598 14,037,799 42,113,398 21,056,699 63,170,098 31,585,049 94,755,148 47,377,574 23,688,787 71,066,362 35,533,181 106,599,544 53,299,772 26,649,886 13,324,943 39,974,830 19,987,415 59,962,246 29,981,123 89,943,370 44,971,685 134,915,056 67,457,528 33,728,764 16,864,382 8,432,191

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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