λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,003,175
2,003,175
32 × 52 × 29 × 307
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 29 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,723,720
Proper Divisor Sum 1,720,545
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2003159 ← → #2003191

Radix Representation

Decimal 2003175
Binary 111101001000011100111 (21 bits)
Octal 0o7510347
Hexadecimal 0x1E90E7

Divisor Catalog (36)

1 3 5 9 15 25 29 45 75 87 145 225 261 307 435 725 921 1,305 1,535 2,175 2,763 4,605 6,525 7,675 8,903 13,815 23,025 26,709 44,515 69,075 80,127 133,545 222,575 400,635 667,725 2,003,175

Collatz Trajectory (202 steps to reach 1)

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

2,003,175 6,009,526 3,004,763 9,014,290 4,507,145 13,521,436 6,760,718 3,380,359 10,141,078 5,070,539 15,211,618 7,605,809 22,817,428 11,408,714 5,704,357 17,113,072 8,556,536 4,278,268 2,139,134 1,069,567 3,208,702 1,604,351 4,813,054 2,406,527 7,219,582 3,609,791 10,829,374 5,414,687 16,244,062 8,122,031 24,366,094 12,183,047 36,549,142 18,274,571 54,823,714 27,411,857 82,235,572 41,117,786 20,558,893 61,676,680 30,838,340 15,419,170 7,709,585 23,128,756 11,564,378 5,782,189 17,346,568 8,673,284 4,336,642 2,168,321 6,504,964 3,252,482 1,626,241 4,878,724 2,439,362 1,219,681 3,659,044 1,829,522 914,761 2,744,284

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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