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Ratio Atlas
Atlas › Integer Profiles › Node 2,829,861
2,829,861
32 × 41 × 7669
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 41 × 7669
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,187,820
Proper Divisor Sum 1,357,959
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2829839 ← → #2829863

Radix Representation

Decimal 2829861
Binary 1010110010111000100101 (22 bits)
Octal 0o12627045
Hexadecimal 0x2B2E25

Divisor Catalog (12)

1 3 9 41 123 369 7,669 23,007 69,021 314,429 943,287 2,829,861

Collatz Trajectory (213 steps to reach 1)

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

2,829,861 8,489,584 4,244,792 2,122,396 1,061,198 530,599 1,591,798 795,899 2,387,698 1,193,849 3,581,548 1,790,774 895,387 2,686,162 1,343,081 4,029,244 2,014,622 1,007,311 3,021,934 1,510,967 4,532,902 2,266,451 6,799,354 3,399,677 10,199,032 5,099,516 2,549,758 1,274,879 3,824,638 1,912,319 5,736,958 2,868,479 8,605,438 4,302,719 12,908,158 6,454,079 19,362,238 9,681,119 29,043,358 14,521,679 43,565,038 21,782,519 65,347,558 32,673,779 98,021,338 49,010,669 147,032,008 73,516,004 36,758,002 18,379,001 55,137,004 27,568,502 13,784,251 41,352,754 20,676,377 62,029,132 31,014,566 15,507,283 46,521,850 23,260,925

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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