λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,006,172
20,006,172
22 × 32 × 29 × 19163
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 19163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 52,317,720
Proper Divisor Sum 32,311,548
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20006149 ← → #20006177

Radix Representation

Decimal 20006172
Binary 1001100010100010100011100 (25 bits)
Octal 0o114242434
Hexadecimal 0x131451C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 19,163 38,326 57,489 76,652 114,978 172,467 229,956 344,934 555,727 689,868 1,111,454 1,667,181 2,222,908 3,334,362 5,001,543 6,668,724 10,003,086 20,006,172

Collatz Trajectory (314 steps to reach 1)

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

20,006,172 10,003,086 5,001,543 15,004,630 7,502,315 22,506,946 11,253,473 33,760,420 16,880,210 8,440,105 25,320,316 12,660,158 6,330,079 18,990,238 9,495,119 28,485,358 14,242,679 42,728,038 21,364,019 64,092,058 32,046,029 96,138,088 48,069,044 24,034,522 12,017,261 36,051,784 18,025,892 9,012,946 4,506,473 13,519,420 6,759,710 3,379,855 10,139,566 5,069,783 15,209,350 7,604,675 22,814,026 11,407,013 34,221,040 17,110,520 8,555,260 4,277,630 2,138,815 6,416,446 3,208,223 9,624,670 4,812,335 14,437,006 7,218,503 21,655,510 10,827,755 32,483,266 16,241,633 48,724,900 24,362,450 12,181,225 36,543,676 18,271,838 9,135,919 27,407,758

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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