λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,851,398
9,851,398
2 × 17 × 37 × 41 × 191
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17 × 37 × 41 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,547,328
Proper Divisor Sum 6,695,930
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9851393 ← → #9851411

Radix Representation

Decimal 9851398
Binary 100101100101001000000110 (24 bits)
Octal 0o45451006
Hexadecimal 0x965206

Divisor Catalog (32)

1 2 17 34 37 41 74 82 191 382 629 697 1,258 1,394 1,517 3,034 3,247 6,494 7,067 7,831 14,134 15,662 25,789 51,578 120,139 133,127 240,278 266,254 289,747 579,494 4,925,699 9,851,398

Collatz Trajectory (313 steps to reach 1)

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

9,851,398 4,925,699 14,777,098 7,388,549 22,165,648 11,082,824 5,541,412 2,770,706 1,385,353 4,156,060 2,078,030 1,039,015 3,117,046 1,558,523 4,675,570 2,337,785 7,013,356 3,506,678 1,753,339 5,260,018 2,630,009 7,890,028 3,945,014 1,972,507 5,917,522 2,958,761 8,876,284 4,438,142 2,219,071 6,657,214 3,328,607 9,985,822 4,992,911 14,978,734 7,489,367 22,468,102 11,234,051 33,702,154 16,851,077 50,553,232 25,276,616 12,638,308 6,319,154 3,159,577 9,478,732 4,739,366 2,369,683 7,109,050 3,554,525 10,663,576 5,331,788 2,665,894 1,332,947 3,998,842 1,999,421 5,998,264 2,999,132 1,499,566 749,783 2,249,350

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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