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Ratio Atlas
Atlas › Integer Profiles › Node 9,856,512
9,856,512
29 × 33 × 23 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 3^3 × 23 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 31,426,560
Proper Divisor Sum 21,570,048
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9856493 ← → #9856513

Radix Representation

Decimal 9856512
Binary 100101100110011000000000 (24 bits)
Octal 0o45463000
Hexadecimal 0x966600

Divisor Catalog (60 of 160)

1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 62 64 69 72 92 93 96 108 124 128 138 144 184 186 192 207 216 248 256 276 279 288 368 372 384 414 432 496 512 552 558 576 621 713 736 744 768 828 837 864 992

Collatz Trajectory (57 steps to reach 1)

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

9,856,512 4,928,256 2,464,128 1,232,064 616,032 308,016 154,008 77,004 38,502 19,251 57,754 28,877 86,632 43,316 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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