λ
Ratio Atlas
Atlas › Integer Profiles › Node 202,500
202,500
22 × 34 × 54
Abundant Even Composite Square (√ = 450)

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5^4
Distinct Prime Factors 3
Square Status Yes (√202500 = 450)
Abundance Measure Abundant

Analytical Properties

Total Divisors 75
Divisor Sum (σ) 661,507
Proper Divisor Sum 459,007
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #202493 ← → #202519

Radix Representation

Decimal 202500
Binary 110001011100000100 (18 bits)
Octal 0o613404
Hexadecimal 0x31704

Divisor Catalog (60 of 75)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 625 675 750 810 900 1,125 1,250 1,350 1,500 1,620 1,875 2,025 2,250 2,500 2,700 3,375 3,750 4,050 4,500 5,625

Collatz Trajectory (59 steps to reach 1)

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

202,500 101,250 50,625 151,876 75,938 37,969 113,908 56,954 28,477 85,432 42,716 21,358 10,679 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 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 #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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