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Ratio Atlas
Atlas › Integer Profiles › Node 357,336
357,336
23 × 32 × 7 × 709
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,107,600
Proper Divisor Sum 750,264
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #357319 ← → #357347

Radix Representation

Decimal 357336
Binary 1010111001111011000 (19 bits)
Octal 0o1271730
Hexadecimal 0x573D8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 709 1,418 2,127 2,836 4,254 4,963 5,672 6,381 8,508 9,926 12,762 14,889 17,016 19,852 25,524 29,778 39,704 44,667 51,048 59,556 89,334 119,112 178,668 357,336

Collatz Trajectory (47 steps to reach 1)

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

357,336 178,668 89,334 44,667 134,002 67,001 201,004 100,502 50,251 150,754 75,377 226,132 113,066 56,533 169,600 84,800 42,400 21,200 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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