λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,166,338
45,166,338
2 × 32 × 72 × 41 × 1249
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 41 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 116,707,500
Proper Divisor Sum 71,541,162
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45166327 ← → #45166339

Radix Representation

Decimal 45166338
Binary 10101100010010111100000010 (26 bits)
Octal 0o254227402
Hexadecimal 0x2B12F02

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1,249 1,722 2,009 2,498 2,583 3,747 4,018 5,166 6,027 7,494 8,743 11,241 12,054 17,486 18,081 22,482 26,229 36,162 51,209 52,458 61,201 78,687 102,418 122,402 153,627 157,374 183,603 307,254 358,463 367,206 460,881 550,809 716,926

Collatz Trajectory (160 steps to reach 1)

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

45,166,338 22,583,169 67,749,508 33,874,754 16,937,377 50,812,132 25,406,066 12,703,033 38,109,100 19,054,550 9,527,275 28,581,826 14,290,913 42,872,740 21,436,370 10,718,185 32,154,556 16,077,278 8,038,639 24,115,918 12,057,959 36,173,878 18,086,939 54,260,818 27,130,409 81,391,228 40,695,614 20,347,807 61,043,422 30,521,711 91,565,134 45,782,567 137,347,702 68,673,851 206,021,554 103,010,777 309,032,332 154,516,166 77,258,083 231,774,250 115,887,125 347,661,376 173,830,688 86,915,344 43,457,672 21,728,836 10,864,418 5,432,209 16,296,628 8,148,314 4,074,157 12,222,472 6,111,236 3,055,618 1,527,809 4,583,428 2,291,714 1,145,857 3,437,572 1,718,786

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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