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Ratio Atlas
Atlas › Integer Profiles › Node 20,175,165
20,175,165
32 × 5 × 181 × 2477
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 181 × 2477
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,177,688
Proper Divisor Sum 15,002,523
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #20175161 ← → #20175167

Radix Representation

Decimal 20175165
Binary 1001100111101100100111101 (25 bits)
Octal 0o114754475
Hexadecimal 0x133D93D

Divisor Catalog (24)

1 3 5 9 15 45 181 543 905 1,629 2,477 2,715 7,431 8,145 12,385 22,293 37,155 111,465 448,337 1,345,011 2,241,685 4,035,033 6,725,055 20,175,165

Collatz Trajectory (327 steps to reach 1)

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

20,175,165 60,525,496 30,262,748 15,131,374 7,565,687 22,697,062 11,348,531 34,045,594 17,022,797 51,068,392 25,534,196 12,767,098 6,383,549 19,150,648 9,575,324 4,787,662 2,393,831 7,181,494 3,590,747 10,772,242 5,386,121 16,158,364 8,079,182 4,039,591 12,118,774 6,059,387 18,178,162 9,089,081 27,267,244 13,633,622 6,816,811 20,450,434 10,225,217 30,675,652 15,337,826 7,668,913 23,006,740 11,503,370 5,751,685 17,255,056 8,627,528 4,313,764 2,156,882 1,078,441 3,235,324 1,617,662 808,831 2,426,494 1,213,247 3,639,742 1,819,871 5,459,614 2,729,807 8,189,422 4,094,711 12,284,134 6,142,067 18,426,202 9,213,101 27,639,304

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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