λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,988,668
36,988,668
22 × 32 × 17 × 19 × 3181
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 19 × 3181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 104,242,320
Proper Divisor Sum 67,253,652
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #36988621 ← → #36988691

Radix Representation

Decimal 36988668
Binary 10001101000110011011111100 (26 bits)
Octal 0o215063374
Hexadecimal 0x23466FC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1,292 1,938 2,907 3,181 3,876 5,814 6,362 9,543 11,628 12,724 19,086 28,629 38,172 54,077 57,258 60,439 108,154 114,516 120,878 162,231 181,317 216,308 241,756 324,462 362,634 486,693 543,951 648,924 725,268 973,386

Collatz Trajectory (240 steps to reach 1)

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

36,988,668 18,494,334 9,247,167 27,741,502 13,870,751 41,612,254 20,806,127 62,418,382 31,209,191 93,627,574 46,813,787 140,441,362 70,220,681 210,662,044 105,331,022 52,665,511 157,996,534 78,998,267 236,994,802 118,497,401 355,492,204 177,746,102 88,873,051 266,619,154 133,309,577 399,928,732 199,964,366 99,982,183 299,946,550 149,973,275 449,919,826 224,959,913 674,879,740 337,439,870 168,719,935 506,159,806 253,079,903 759,239,710 379,619,855 1,138,859,566 569,429,783 1,708,289,350 854,144,675 2,562,434,026 1,281,217,013 3,843,651,040 1,921,825,520 960,912,760 480,456,380 240,228,190 120,114,095 360,342,286 180,171,143 540,513,430 270,256,715 810,770,146 405,385,073 1,216,155,220 608,077,610 304,038,805

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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