λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,019,745
1,019,745
32 × 5 × 17 × 31 × 43
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 31 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,976,832
Proper Divisor Sum 957,087
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1019741 ← → #1019747

Radix Representation

Decimal 1019745
Binary 11111000111101100001 (20 bits)
Octal 0o3707541
Hexadecimal 0xF8F61

Divisor Catalog (48)

1 3 5 9 15 17 31 43 45 51 85 93 129 153 155 215 255 279 387 465 527 645 731 765 1,333 1,395 1,581 1,935 2,193 2,635 3,655 3,999 4,743 6,579 6,665 7,905 10,965 11,997 19,995 22,661 23,715 32,895 59,985 67,983 113,305 203,949 339,915 1,019,745

Collatz Trajectory (139 steps to reach 1)

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

1,019,745 3,059,236 1,529,618 764,809 2,294,428 1,147,214 573,607 1,720,822 860,411 2,581,234 1,290,617 3,871,852 1,935,926 967,963 2,903,890 1,451,945 4,355,836 2,177,918 1,088,959 3,266,878 1,633,439 4,900,318 2,450,159 7,350,478 3,675,239 11,025,718 5,512,859 16,538,578 8,269,289 24,807,868 12,403,934 6,201,967 18,605,902 9,302,951 27,908,854 13,954,427 41,863,282 20,931,641 62,794,924 31,397,462 15,698,731 47,096,194 23,548,097 70,644,292 35,322,146 17,661,073 52,983,220 26,491,610 13,245,805 39,737,416 19,868,708 9,934,354 4,967,177 14,901,532 7,450,766 3,725,383 11,176,150 5,588,075 16,764,226 8,382,113

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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