λ
Ratio Atlas
Atlas › Integer Profiles › Node 257,600
257,600
26 × 52 × 7 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 7 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 755,904
Proper Divisor Sum 498,304
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #257591 ← → #257611

Radix Representation

Decimal 257600
Binary 111110111001000000 (18 bits)
Octal 0o767100
Hexadecimal 0x3EE40

Divisor Catalog (60 of 84)

1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 140 160 161 175 184 200 224 230 280 320 322 350 368 400 448 460 560 575 644 700 736 800 805 920 1,120 1,150 1,288 1,400 1,472 1,600 1,610 1,840 2,240 2,300

Collatz Trajectory (75 steps to reach 1)

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

257,600 128,800 64,400 32,200 16,100 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

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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