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Ratio Atlas
Atlas › Integer Profiles › Node 357,048
357,048
23 × 34 × 19 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 19 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,089,000
Proper Divisor Sum 731,952
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #357047 ← → #357073

Radix Representation

Decimal 357048
Binary 1010111001010111000 (19 bits)
Octal 0o1271270
Hexadecimal 0x572B8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 18 19 24 27 29 36 38 54 57 58 72 76 81 87 108 114 116 152 162 171 174 216 228 232 261 324 342 348 456 513 522 551 648 684 696 783 1,026 1,044 1,102 1,368 1,539 1,566 1,653 2,052 2,088 2,204 2,349 3,078 3,132 3,306 4,104 4,408

Collatz Trajectory (47 steps to reach 1)

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

357,048 178,524 89,262 44,631 133,894 66,947 200,842 100,421 301,264 150,632 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 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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