λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,036,728
52,036,728
23 × 3 × 17 × 127541
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 127541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 137,745,360
Proper Divisor Sum 85,708,632
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #52036727 ← → #52036729

Radix Representation

Decimal 52036728
Binary 11000110100000010001111000 (26 bits)
Octal 0o306402170
Hexadecimal 0x31A0478

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 127,541 255,082 382,623 510,164 765,246 1,020,328 1,530,492 2,168,197 3,060,984 4,336,394 6,504,591 8,672,788 13,009,182 17,345,576 26,018,364 52,036,728

Collatz Trajectory (274 steps to reach 1)

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

52,036,728 26,018,364 13,009,182 6,504,591 19,513,774 9,756,887 29,270,662 14,635,331 43,905,994 21,952,997 65,858,992 32,929,496 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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