λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,010,000
30,010,000
24 × 54 × 3001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^4 × 3001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 72,681,422
Proper Divisor Sum 42,671,422
Digit Sum / Digital Root 4 (Root: 4)
Adjacent Primes #30009979 ← → #30010021

Radix Representation

Decimal 30010000
Binary 1110010011110101010010000 (25 bits)
Octal 0o162365220
Hexadecimal 0x1C9EA90

Divisor Catalog (50)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1,000 1,250 2,000 2,500 3,001 5,000 6,002 10,000 12,004 15,005 24,008 30,010 48,016 60,020 75,025 120,040 150,050 240,080 300,100 375,125 600,200 750,250 1,200,400 1,500,500 1,875,625 3,001,000 3,751,250 6,002,000 7,502,500 15,005,000 30,010,000

Collatz Trajectory (188 steps to reach 1)

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

30,010,000 15,005,000 7,502,500 3,751,250 1,875,625 5,626,876 2,813,438 1,406,719 4,220,158 2,110,079 6,330,238 3,165,119 9,495,358 4,747,679 14,243,038 7,121,519 21,364,558 10,682,279 32,046,838 16,023,419 48,070,258 24,035,129 72,105,388 36,052,694 18,026,347 54,079,042 27,039,521 81,118,564 40,559,282 20,279,641 60,838,924 30,419,462 15,209,731 45,629,194 22,814,597 68,443,792 34,221,896 17,110,948 8,555,474 4,277,737 12,833,212 6,416,606 3,208,303 9,624,910 4,812,455 14,437,366 7,218,683 21,656,050 10,828,025 32,484,076 16,242,038 8,121,019 24,363,058 12,181,529 36,544,588 18,272,294 9,136,147 27,408,442 13,704,221 41,112,664

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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