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Ratio Atlas
Atlas › Integer Profiles › Node 7,789,375
7,789,375
54 × 112 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^4 × 11^2 × 103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 10,802,792
Proper Divisor Sum 3,013,417
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7789367 ← → #7789393

Radix Representation

Decimal 7789375
Binary 11101101101101100111111 (23 bits)
Octal 0o35555477
Hexadecimal 0x76DB3F

Divisor Catalog (30)

1 5 11 25 55 103 121 125 275 515 605 625 1,133 1,375 2,575 3,025 5,665 6,875 12,463 12,875 15,125 28,325 62,315 64,375 75,625 141,625 311,575 708,125 1,557,875 7,789,375

Collatz Trajectory (217 steps to reach 1)

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

7,789,375 23,368,126 11,684,063 35,052,190 17,526,095 52,578,286 26,289,143 78,867,430 39,433,715 118,301,146 59,150,573 177,451,720 88,725,860 44,362,930 22,181,465 66,544,396 33,272,198 16,636,099 49,908,298 24,954,149 74,862,448 37,431,224 18,715,612 9,357,806 4,678,903 14,036,710 7,018,355 21,055,066 10,527,533 31,582,600 15,791,300 7,895,650 3,947,825 11,843,476 5,921,738 2,960,869 8,882,608 4,441,304 2,220,652 1,110,326 555,163 1,665,490 832,745 2,498,236 1,249,118 624,559 1,873,678 936,839 2,810,518 1,405,259 4,215,778 2,107,889 6,323,668 3,161,834 1,580,917 4,742,752 2,371,376 1,185,688 592,844 296,422

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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