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Ratio Atlas
Atlas › Integer Profiles › Node 147,168
147,168
25 × 32 × 7 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 484,848
Proper Divisor Sum 337,680
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #147163 ← → #147179

Radix Representation

Decimal 147168
Binary 100011111011100000 (18 bits)
Octal 0o437340
Hexadecimal 0x23EE0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 112 126 144 146 168 219 224 252 288 292 336 438 504 511 584 657 672 876 1,008 1,022 1,168 1,314 1,533 1,752 2,016 2,044 2,336 2,628 3,066 3,504 4,088 4,599 5,256 6,132 7,008

Collatz Trajectory (157 steps to reach 1)

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

147,168 73,584 36,792 18,396 9,198 4,599 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161

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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