λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,632,016
52,632,016
24 × 71 × 107 × 433
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 71 × 107 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 104,618,304
Proper Divisor Sum 51,986,288
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #52632007 ← → #52632023

Radix Representation

Decimal 52632016
Binary 11001000110001100111010000 (26 bits)
Octal 0o310614720
Hexadecimal 0x32319D0

Divisor Catalog (40)

1 2 4 8 16 71 107 142 214 284 428 433 568 856 866 1,136 1,712 1,732 3,464 6,928 7,597 15,194 30,388 30,743 46,331 60,776 61,486 92,662 121,552 122,972 185,324 245,944 370,648 491,888 741,296 3,289,501 6,579,002 13,158,004 26,316,008 52,632,016

Collatz Trajectory (225 steps to reach 1)

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

52,632,016 26,316,008 13,158,004 6,579,002 3,289,501 9,868,504 4,934,252 2,467,126 1,233,563 3,700,690 1,850,345 5,551,036 2,775,518 1,387,759 4,163,278 2,081,639 6,244,918 3,122,459 9,367,378 4,683,689 14,051,068 7,025,534 3,512,767 10,538,302 5,269,151 15,807,454 7,903,727 23,711,182 11,855,591 35,566,774 17,783,387 53,350,162 26,675,081 80,025,244 40,012,622 20,006,311 60,018,934 30,009,467 90,028,402 45,014,201 135,042,604 67,521,302 33,760,651 101,281,954 50,640,977 151,922,932 75,961,466 37,980,733 113,942,200 56,971,100 28,485,550 14,242,775 42,728,326 21,364,163 64,092,490 32,046,245 96,138,736 48,069,368 24,034,684 12,017,342

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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