λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,854,635
9,854,635
5 × 72 × 19 × 29 × 73
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^2 × 19 × 29 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,184,800
Proper Divisor Sum 5,330,165
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9854633 ← → #9854639

Radix Representation

Decimal 9854635
Binary 100101100101111010101011 (24 bits)
Octal 0o45457253
Hexadecimal 0x965EAB

Divisor Catalog (48)

1 5 7 19 29 35 49 73 95 133 145 203 245 365 511 551 665 931 1,015 1,387 1,421 2,117 2,555 2,755 3,577 3,857 4,655 6,935 7,105 9,709 10,585 14,819 17,885 19,285 26,999 40,223 48,545 67,963 74,095 103,733 134,995 201,115 281,561 339,815 518,665 1,407,805 1,970,927 9,854,635

Collatz Trajectory (207 steps to reach 1)

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

9,854,635 29,563,906 14,781,953 44,345,860 22,172,930 11,086,465 33,259,396 16,629,698 8,314,849 24,944,548 12,472,274 6,236,137 18,708,412 9,354,206 4,677,103 14,031,310 7,015,655 21,046,966 10,523,483 31,570,450 15,785,225 47,355,676 23,677,838 11,838,919 35,516,758 17,758,379 53,275,138 26,637,569 79,912,708 39,956,354 19,978,177 59,934,532 29,967,266 14,983,633 44,950,900 22,475,450 11,237,725 33,713,176 16,856,588 8,428,294 4,214,147 12,642,442 6,321,221 18,963,664 9,481,832 4,740,916 2,370,458 1,185,229 3,555,688 1,777,844 888,922 444,461 1,333,384 666,692 333,346 166,673 500,020 250,010 125,005 375,016

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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