λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,036,720
52,036,720
24 × 5 × 241 × 2699
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 241 × 2699
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 121,532,400
Proper Divisor Sum 69,495,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #52036697 ← → #52036723

Radix Representation

Decimal 52036720
Binary 11000110100000010001110000 (26 bits)
Octal 0o306402160
Hexadecimal 0x31A0470

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 241 482 964 1,205 1,928 2,410 2,699 3,856 4,820 5,398 9,640 10,796 13,495 19,280 21,592 26,990 43,184 53,980 107,960 215,920 650,459 1,300,918 2,601,836 3,252,295 5,203,672 6,504,590 10,407,344 13,009,180 26,018,360 52,036,720

Collatz Trajectory (274 steps to reach 1)

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

52,036,720 26,018,360 13,009,180 6,504,590 3,252,295 9,756,886 4,878,443 14,635,330 7,317,665 21,952,996 10,976,498 5,488,249 16,464,748 8,232,374 4,116,187 12,348,562 6,174,281 18,522,844 9,261,422 4,630,711 13,892,134 6,946,067 20,838,202 10,419,101 31,257,304 15,628,652 7,814,326 3,907,163 11,721,490 5,860,745 17,582,236 8,791,118 4,395,559 13,186,678 6,593,339 19,780,018 9,890,009 29,670,028 14,835,014 7,417,507 22,252,522 11,126,261 33,378,784 16,689,392 8,344,696 4,172,348 2,086,174 1,043,087 3,129,262 1,564,631 4,693,894 2,346,947 7,040,842 3,520,421 10,561,264 5,280,632 2,640,316 1,320,158 660,079 1,980,238

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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