λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,908,710
8,908,710
2 × 3 × 5 × 149 × 1993
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 149 × 1993
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,535,200
Proper Divisor Sum 12,626,490
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8908703 ← → #8908721

Radix Representation

Decimal 8908710
Binary 100001111110111110100110 (24 bits)
Octal 0o41767646
Hexadecimal 0x87EFA6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 149 298 447 745 894 1,490 1,993 2,235 3,986 4,470 5,979 9,965 11,958 19,930 29,895 59,790 296,957 593,914 890,871 1,484,785 1,781,742 2,969,570 4,454,355 8,908,710

Collatz Trajectory (318 steps to reach 1)

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

8,908,710 4,454,355 13,363,066 6,681,533 20,044,600 10,022,300 5,011,150 2,505,575 7,516,726 3,758,363 11,275,090 5,637,545 16,912,636 8,456,318 4,228,159 12,684,478 6,342,239 19,026,718 9,513,359 28,540,078 14,270,039 42,810,118 21,405,059 64,215,178 32,107,589 96,322,768 48,161,384 24,080,692 12,040,346 6,020,173 18,060,520 9,030,260 4,515,130 2,257,565 6,772,696 3,386,348 1,693,174 846,587 2,539,762 1,269,881 3,809,644 1,904,822 952,411 2,857,234 1,428,617 4,285,852 2,142,926 1,071,463 3,214,390 1,607,195 4,821,586 2,410,793 7,232,380 3,616,190 1,808,095 5,424,286 2,712,143 8,136,430 4,068,215 12,204,646

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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