λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,852,375
9,852,375
3 × 53 × 13 × 43 × 47
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 13 × 43 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,450,432
Proper Divisor Sum 8,598,057
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9852361 ← → #9852383

Radix Representation

Decimal 9852375
Binary 100101100101010111010111 (24 bits)
Octal 0o45452727
Hexadecimal 0x9655D7

Divisor Catalog (60 of 64)

1 3 5 13 15 25 39 43 47 65 75 125 129 141 195 215 235 325 375 559 611 645 705 975 1,075 1,175 1,625 1,677 1,833 2,021 2,795 3,055 3,225 3,525 4,875 5,375 5,875 6,063 8,385 9,165 10,105 13,975 15,275 16,125 17,625 26,273 30,315 41,925 45,825 50,525 69,875 76,375 78,819 131,365 151,575 209,625 229,125 252,625 394,095 656,825

Collatz Trajectory (168 steps to reach 1)

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

9,852,375 29,557,126 14,778,563 44,335,690 22,167,845 66,503,536 33,251,768 16,625,884 8,312,942 4,156,471 12,469,414 6,234,707 18,704,122 9,352,061 28,056,184 14,028,092 7,014,046 3,507,023 10,521,070 5,260,535 15,781,606 7,890,803 23,672,410 11,836,205 35,508,616 17,754,308 8,877,154 4,438,577 13,315,732 6,657,866 3,328,933 9,986,800 4,993,400 2,496,700 1,248,350 624,175 1,872,526 936,263 2,808,790 1,404,395 4,213,186 2,106,593 6,319,780 3,159,890 1,579,945 4,739,836 2,369,918 1,184,959 3,554,878 1,777,439 5,332,318 2,666,159 7,998,478 3,999,239 11,997,718 5,998,859 17,996,578 8,998,289 26,994,868 13,497,434

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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