λ
Ratio Atlas
Atlas › Integer Profiles › Node 465,192
465,192
23 × 32 × 7 × 13 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,572,480
Proper Divisor Sum 1,107,288
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #465187 ← → #465209

Radix Representation

Decimal 465192
Binary 1110001100100101000 (19 bits)
Octal 0o1614450
Hexadecimal 0x71928

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 71 72 78 84 91 104 117 126 142 156 168 182 213 234 252 273 284 312 364 426 468 497 504 546 568 639 728 819 852 923 936 994 1,092 1,278 1,491 1,638 1,704 1,846

Collatz Trajectory (63 steps to reach 1)

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

465,192 232,596 116,298 58,149 174,448 87,224 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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