λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,111,104
1,111,104
26 × 33 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^3 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 3,271,520
Proper Divisor Sum 2,160,416
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #1111091 ← → #1111151

Radix Representation

Decimal 1111104
Binary 100001111010001000000 (21 bits)
Octal 0o4172100
Hexadecimal 0x10F440

Divisor Catalog (56)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 643 864 1,286 1,728 1,929 2,572 3,858 5,144 5,787 7,716 10,288 11,574 15,432 17,361 20,576 23,148 30,864 34,722 41,152 46,296 61,728 69,444 92,592 123,456 138,888 185,184 277,776 370,368 555,552 1,111,104

Collatz Trajectory (85 steps to reach 1)

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

1,111,104 555,552 277,776 138,888 69,444 34,722 17,361 52,084 26,042 13,021 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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