λ
Ratio Atlas
Atlas › Integer Profiles › Node 84,400
84,400
24 × 52 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 203,732
Proper Divisor Sum 119,332
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #84391 ← → #84401

Radix Representation

Decimal 84400
Binary 10100100110110000 (17 bits)
Octal 0o244660
Hexadecimal 0x149B0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 211 400 422 844 1,055 1,688 2,110 3,376 4,220 5,275 8,440 10,550 16,880 21,100 42,200 84,400

Collatz Trajectory (107 steps to reach 1)

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

84,400 42,200 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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