λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,703,566
9,703,566
2 × 32 × 17 × 19 × 1669
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 19 × 1669
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,446,800
Proper Divisor Sum 13,743,234
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9703541 ← → #9703567

Radix Representation

Decimal 9703566
Binary 100101000001000010001110 (24 bits)
Octal 0o45010216
Hexadecimal 0x94108E

Divisor Catalog (48)

1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1,669 1,938 2,907 3,338 5,007 5,814 10,014 15,021 28,373 30,042 31,711 56,746 63,422 85,119 95,133 170,238 190,266 255,357 285,399 510,714 539,087 570,798 1,078,174 1,617,261 3,234,522 4,851,783 9,703,566

Collatz Trajectory (238 steps to reach 1)

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

9,703,566 4,851,783 14,555,350 7,277,675 21,833,026 10,916,513 32,749,540 16,374,770 8,187,385 24,562,156 12,281,078 6,140,539 18,421,618 9,210,809 27,632,428 13,816,214 6,908,107 20,724,322 10,362,161 31,086,484 15,543,242 7,771,621 23,314,864 11,657,432 5,828,716 2,914,358 1,457,179 4,371,538 2,185,769 6,557,308 3,278,654 1,639,327 4,917,982 2,458,991 7,376,974 3,688,487 11,065,462 5,532,731 16,598,194 8,299,097 24,897,292 12,448,646 6,224,323 18,672,970 9,336,485 28,009,456 14,004,728 7,002,364 3,501,182 1,750,591 5,251,774 2,625,887 7,877,662 3,938,831 11,816,494 5,908,247 17,724,742 8,862,371 26,587,114 13,293,557

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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