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Ratio Atlas
Atlas › Integer Profiles › Node 401,968
401,968
24 × 7 × 37 × 97
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 37 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 923,552
Proper Divisor Sum 521,584
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #401959 ← → #401981

Radix Representation

Decimal 401968
Binary 1100010001000110000 (19 bits)
Octal 0o1421060
Hexadecimal 0x62230

Divisor Catalog (40)

1 2 4 7 8 14 16 28 37 56 74 97 112 148 194 259 296 388 518 592 679 776 1,036 1,358 1,552 2,072 2,716 3,589 4,144 5,432 7,178 10,864 14,356 25,123 28,712 50,246 57,424 100,492 200,984 401,968

Collatz Trajectory (42 steps to reach 1)

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

401,968 200,984 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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