λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,813,628
17,813,628
22 × 33 × 7 × 23563
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 23563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 52,783,360
Proper Divisor Sum 34,969,732
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17813599 ← → #17813651

Radix Representation

Decimal 17813628
Binary 1000011111101000001111100 (25 bits)
Octal 0o103750174
Hexadecimal 0x10FD07C

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 23,563 47,126 70,689 94,252 141,378 164,941 212,067 282,756 329,882 424,134 494,823 636,201 659,764 848,268 989,646 1,272,402 1,484,469 1,979,292 2,544,804 2,968,938 4,453,407 5,937,876 8,906,814 17,813,628

Collatz Trajectory (169 steps to reach 1)

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

17,813,628 8,906,814 4,453,407 13,360,222 6,680,111 20,040,334 10,020,167 30,060,502 15,030,251 45,090,754 22,545,377 67,636,132 33,818,066 16,909,033 50,727,100 25,363,550 12,681,775 38,045,326 19,022,663 57,067,990 28,533,995 85,601,986 42,800,993 128,402,980 64,201,490 32,100,745 96,302,236 48,151,118 24,075,559 72,226,678 36,113,339 108,340,018 54,170,009 162,510,028 81,255,014 40,627,507 121,882,522 60,941,261 182,823,784 91,411,892 45,705,946 22,852,973 68,558,920 34,279,460 17,139,730 8,569,865 25,709,596 12,854,798 6,427,399 19,282,198 9,641,099 28,923,298 14,461,649 43,384,948 21,692,474 10,846,237 32,538,712 16,269,356 8,134,678 4,067,339

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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