λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,854,970
9,854,970
2 × 3 × 5 × 89 × 3691
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 89 × 3691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,924,160
Proper Divisor Sum 14,069,190
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9854969 ← → #9854981

Radix Representation

Decimal 9854970
Binary 100101100101111111111010 (24 bits)
Octal 0o45457772
Hexadecimal 0x965FFA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 89 178 267 445 534 890 1,335 2,670 3,691 7,382 11,073 18,455 22,146 36,910 55,365 110,730 328,499 656,998 985,497 1,642,495 1,970,994 3,284,990 4,927,485 9,854,970

Collatz Trajectory (168 steps to reach 1)

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

9,854,970 4,927,485 14,782,456 7,391,228 3,695,614 1,847,807 5,543,422 2,771,711 8,315,134 4,157,567 12,472,702 6,236,351 18,709,054 9,354,527 28,063,582 14,031,791 42,095,374 21,047,687 63,143,062 31,571,531 94,714,594 47,357,297 142,071,892 71,035,946 35,517,973 106,553,920 53,276,960 26,638,480 13,319,240 6,659,620 3,329,810 1,664,905 4,994,716 2,497,358 1,248,679 3,746,038 1,873,019 5,619,058 2,809,529 8,428,588 4,214,294 2,107,147 6,321,442 3,160,721 9,482,164 4,741,082 2,370,541 7,111,624 3,555,812 1,777,906 888,953 2,666,860 1,333,430 666,715 2,000,146 1,000,073 3,000,220 1,500,110 750,055 2,250,166

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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