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Ratio Atlas
Atlas › Integer Profiles › Node 1,290,735
1,290,735
34 × 5 × 3187
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 3187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,314,488
Proper Divisor Sum 1,023,753
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1290719 ← → #1290791

Radix Representation

Decimal 1290735
Binary 100111011000111101111 (21 bits)
Octal 0o4730757
Hexadecimal 0x13B1EF

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 3,187 9,561 15,935 28,683 47,805 86,049 143,415 258,147 430,245 1,290,735

Collatz Trajectory (279 steps to reach 1)

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

1,290,735 3,872,206 1,936,103 5,808,310 2,904,155 8,712,466 4,356,233 13,068,700 6,534,350 3,267,175 9,801,526 4,900,763 14,702,290 7,351,145 22,053,436 11,026,718 5,513,359 16,540,078 8,270,039 24,810,118 12,405,059 37,215,178 18,607,589 55,822,768 27,911,384 13,955,692 6,977,846 3,488,923 10,466,770 5,233,385 15,700,156 7,850,078 3,925,039 11,775,118 5,887,559 17,662,678 8,831,339 26,494,018 13,247,009 39,741,028 19,870,514 9,935,257 29,805,772 14,902,886 7,451,443 22,354,330 11,177,165 33,531,496 16,765,748 8,382,874 4,191,437 12,574,312 6,287,156 3,143,578 1,571,789 4,715,368 2,357,684 1,178,842 589,421 1,768,264

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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