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Ratio Atlas
Atlas › Integer Profiles › Node 439,752
439,752
23 × 3 × 73 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 73 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,118,880
Proper Divisor Sum 679,128
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #439729 ← → #439753

Radix Representation

Decimal 439752
Binary 1101011010111001000 (19 bits)
Octal 0o1532710
Hexadecimal 0x6B5C8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 73 146 219 251 292 438 502 584 753 876 1,004 1,506 1,752 2,008 3,012 6,024 18,323 36,646 54,969 73,292 109,938 146,584 219,876 439,752

Collatz Trajectory (156 steps to reach 1)

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

439,752 219,876 109,938 54,969 164,908 82,454 41,227 123,682 61,841 185,524 92,762 46,381 139,144 69,572 34,786 17,393 52,180 26,090 13,045 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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