λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,968,892
3,968,892
22 × 33 × 36749
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 36749
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,290,000
Proper Divisor Sum 6,321,108
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3968873 ← → #3968893

Radix Representation

Decimal 3968892
Binary 1111001000111101111100 (22 bits)
Octal 0o17107574
Hexadecimal 0x3C8F7C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 36,749 73,498 110,247 146,996 220,494 330,741 440,988 661,482 992,223 1,322,964 1,984,446 3,968,892

Collatz Trajectory (198 steps to reach 1)

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

3,968,892 1,984,446 992,223 2,976,670 1,488,335 4,465,006 2,232,503 6,697,510 3,348,755 10,046,266 5,023,133 15,069,400 7,534,700 3,767,350 1,883,675 5,651,026 2,825,513 8,476,540 4,238,270 2,119,135 6,357,406 3,178,703 9,536,110 4,768,055 14,304,166 7,152,083 21,456,250 10,728,125 32,184,376 16,092,188 8,046,094 4,023,047 12,069,142 6,034,571 18,103,714 9,051,857 27,155,572 13,577,786 6,788,893 20,366,680 10,183,340 5,091,670 2,545,835 7,637,506 3,818,753 11,456,260 5,728,130 2,864,065 8,592,196 4,296,098 2,148,049 6,444,148 3,222,074 1,611,037 4,833,112 2,416,556 1,208,278 604,139 1,812,418 906,209

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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