λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,727,262
36,727,262
2 × 11 × 13 × 281 × 457
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 13 × 281 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,094,624
Proper Divisor Sum 28,367,362
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36727261 ← → #36727367

Radix Representation

Decimal 36727262
Binary 10001100000110100111011110 (26 bits)
Octal 0o214064736
Hexadecimal 0x23069DE

Divisor Catalog (32)

1 2 11 13 22 26 143 281 286 457 562 914 3,091 3,653 5,027 5,941 6,182 7,306 10,054 11,882 40,183 65,351 80,366 128,417 130,702 256,834 1,412,587 1,669,421 2,825,174 3,338,842 18,363,631 36,727,262

Collatz Trajectory (196 steps to reach 1)

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

36,727,262 18,363,631 55,090,894 27,545,447 82,636,342 41,318,171 123,954,514 61,977,257 185,931,772 92,965,886 46,482,943 139,448,830 69,724,415 209,173,246 104,586,623 313,759,870 156,879,935 470,639,806 235,319,903 705,959,710 352,979,855 1,058,939,566 529,469,783 1,588,409,350 794,204,675 2,382,614,026 1,191,307,013 3,573,921,040 1,786,960,520 893,480,260 446,740,130 223,370,065 670,110,196 335,055,098 167,527,549 502,582,648 251,291,324 125,645,662 62,822,831 188,468,494 94,234,247 282,702,742 141,351,371 424,054,114 212,027,057 636,081,172 318,040,586 159,020,293 477,060,880 238,530,440 119,265,220 59,632,610 29,816,305 89,448,916 44,724,458 22,362,229 67,086,688 33,543,344 16,771,672 8,385,836

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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