λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,864,800
9,864,800
25 × 52 × 11 × 19 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 11 × 19 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 28,123,200
Proper Divisor Sum 18,258,400
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9864791 ← → #9864817

Radix Representation

Decimal 9864800
Binary 100101101000011001100000 (24 bits)
Octal 0o45503140
Hexadecimal 0x968660

Divisor Catalog (60 of 144)

1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 59 76 80 88 95 100 110 118 152 160 176 190 200 209 220 236 275 295 304 352 380 400 418 440 472 475 550 590 608 649 760 800 836 880 944 950 1,045 1,100 1,121 1,180 1,298 1,475

Collatz Trajectory (57 steps to reach 1)

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

9,864,800 4,932,400 2,466,200 1,233,100 616,550 308,275 924,826 462,413 1,387,240 693,620 346,810 173,405 520,216 260,108 130,054 65,027 195,082 97,541 292,624 146,312 73,156 36,578 18,289 54,868 27,434 13,717 41,152 20,576 10,288 5,144 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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