λ
Ratio Atlas
Atlas › Integer Profiles › Node 396,720
396,720
24 × 32 × 5 × 19 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 19 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,450,800
Proper Divisor Sum 1,054,080
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #396719 ← → #396733

Radix Representation

Decimal 396720
Binary 1100000110110110000 (19 bits)
Octal 0o1406660
Hexadecimal 0x60DB0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 29 30 36 38 40 45 48 57 58 60 72 76 80 87 90 95 114 116 120 144 145 152 171 174 180 190 228 232 240 261 285 290 304 342 348 360 380 435 456 464 522 551 570 580

Collatz Trajectory (68 steps to reach 1)

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

396,720 198,360 99,180 49,590 24,795 74,386 37,193 111,580 55,790 27,895 83,686 41,843 125,530 62,765 188,296 94,148 47,074 23,537 70,612 35,306 17,653 52,960 26,480 13,240 6,620 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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