λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,906,880
32,906,880
27 × 32 × 5 × 29 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 29 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 118,146,600
Proper Divisor Sum 85,239,720
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #32906873 ← → #32906893

Radix Representation

Decimal 32906880
Binary 1111101100001111010000000 (25 bits)
Octal 0o175417200
Hexadecimal 0x1F61E80

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 64 72 80 87 90 96 116 120 128 144 145 160 174 180 192 197 232 240 261 288 290 320 348 360 384 394 435 464 480 522 576 580 591 640 696 720

Collatz Trajectory (56 steps to reach 1)

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

32,906,880 16,453,440 8,226,720 4,113,360 2,056,680 1,028,340 514,170 257,085 771,256 385,628 192,814 96,407 289,222 144,611 433,834 216,917 650,752 325,376 162,688 81,344 40,672 20,336 10,168 5,084 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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