λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,688,284
52,688,284
22 × 11 × 113 × 10597
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 113 × 10597
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 101,486,448
Proper Divisor Sum 48,798,164
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #52688263 ← → #52688291

Radix Representation

Decimal 52688284
Binary 11001000111111010110011100 (26 bits)
Octal 0o310772634
Hexadecimal 0x323F59C

Divisor Catalog (24)

1 2 4 11 22 44 113 226 452 1,243 2,486 4,972 10,597 21,194 42,388 116,567 233,134 466,268 1,197,461 2,394,922 4,789,844 13,172,071 26,344,142 52,688,284

Collatz Trajectory (173 steps to reach 1)

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

52,688,284 26,344,142 13,172,071 39,516,214 19,758,107 59,274,322 29,637,161 88,911,484 44,455,742 22,227,871 66,683,614 33,341,807 100,025,422 50,012,711 150,038,134 75,019,067 225,057,202 112,528,601 337,585,804 168,792,902 84,396,451 253,189,354 126,594,677 379,784,032 189,892,016 94,946,008 47,473,004 23,736,502 11,868,251 35,604,754 17,802,377 53,407,132 26,703,566 13,351,783 40,055,350 20,027,675 60,083,026 30,041,513 90,124,540 45,062,270 22,531,135 67,593,406 33,796,703 101,390,110 50,695,055 152,085,166 76,042,583 228,127,750 114,063,875 342,191,626 171,095,813 513,287,440 256,643,720 128,321,860 64,160,930 32,080,465 96,241,396 48,120,698 24,060,349 72,181,048

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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