λ
Ratio Atlas
Atlas › Integer Profiles › Node 404,376
404,376
23 × 3 × 7 × 29 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 29 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 1,209,600
Proper Divisor Sum 805,224
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #404357 ← → #404381

Radix Representation

Decimal 404376
Binary 1100010101110011000 (19 bits)
Octal 0o1425630
Hexadecimal 0x62B98

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 83 84 87 116 166 168 174 203 232 249 332 348 406 498 581 609 664 696 812 996 1,162 1,218 1,624 1,743 1,992 2,324 2,407 2,436 3,486 4,648 4,814 4,872 6,972 7,221 9,628 13,944 14,442 16,849 19,256 28,884 33,698 50,547 57,768 67,396

Collatz Trajectory (68 steps to reach 1)

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

404,376 202,188 101,094 50,547 151,642 75,821 227,464 113,732 56,866 28,433 85,300 42,650 21,325 63,976 31,988 15,994 7,997 23,992 11,996 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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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