λ
Ratio Atlas
Atlas › Integer Profiles › Node 401,100
401,100
22 × 3 × 52 × 7 × 191
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 1,333,248
Proper Divisor Sum 932,148
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #401087 ← → #401101

Radix Representation

Decimal 401100
Binary 1100001111011001100 (19 bits)
Octal 0o1417314
Hexadecimal 0x61ECC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 191 210 300 350 382 420 525 573 700 764 955 1,050 1,146 1,337 1,910 2,100 2,292 2,674 2,865 3,820 4,011 4,775 5,348 5,730 6,685 8,022 9,550 11,460 13,370 14,325 16,044 19,100

Collatz Trajectory (130 steps to reach 1)

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

401,100 200,550 100,275 300,826 150,413 451,240 225,620 112,810 56,405 169,216 84,608 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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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