λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,904,350
36,904,350
2 × 3 × 52 × 72 × 5021
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7^2 × 5021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 106,486,488
Proper Divisor Sum 69,582,138
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36904349 ← → #36904369

Radix Representation

Decimal 36904350
Binary 10001100110001110110011110 (26 bits)
Octal 0o214616636
Hexadecimal 0x2331D9E

Divisor Catalog (60 of 72)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1,050 1,225 1,470 2,450 3,675 5,021 7,350 10,042 15,063 25,105 30,126 35,147 50,210 70,294 75,315 105,441 125,525 150,630 175,735 210,882 246,029 251,050 351,470 376,575 492,058 527,205 738,087 753,150 878,675 1,054,410

Collatz Trajectory (258 steps to reach 1)

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

36,904,350 18,452,175 55,356,526 27,678,263 83,034,790 41,517,395 124,552,186 62,276,093 186,828,280 93,414,140 46,707,070 23,353,535 70,060,606 35,030,303 105,090,910 52,545,455 157,636,366 78,818,183 236,454,550 118,227,275 354,681,826 177,340,913 532,022,740 266,011,370 133,005,685 399,017,056 199,508,528 99,754,264 49,877,132 24,938,566 12,469,283 37,407,850 18,703,925 56,111,776 28,055,888 14,027,944 7,013,972 3,506,986 1,753,493 5,260,480 2,630,240 1,315,120 657,560 328,780 164,390 82,195 246,586 123,293 369,880 184,940 92,470 46,235 138,706 69,353 208,060 104,030 52,015 156,046 78,023 234,070

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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