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Ratio Atlas
Atlas › Integer Profiles › Node 52,048,619
52,048,619
7 × 192 × 43 × 479
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 19^2 × 43 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 64,373,760
Proper Divisor Sum 12,325,141
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #52048613 ← → #52048621

Radix Representation

Decimal 52048619
Binary 11000110100011001011101011 (26 bits)
Octal 0o306431353
Hexadecimal 0x31A32EB

Divisor Catalog (24)

1 7 19 43 133 301 361 479 817 2,527 3,353 5,719 9,101 15,523 20,597 63,707 108,661 144,179 172,919 391,343 1,210,433 2,739,401 7,435,517 52,048,619

Collatz Trajectory (212 steps to reach 1)

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

52,048,619 156,145,858 78,072,929 234,218,788 117,109,394 58,554,697 175,664,092 87,832,046 43,916,023 131,748,070 65,874,035 197,622,106 98,811,053 296,433,160 148,216,580 74,108,290 37,054,145 111,162,436 55,581,218 27,790,609 83,371,828 41,685,914 20,842,957 62,528,872 31,264,436 15,632,218 7,816,109 23,448,328 11,724,164 5,862,082 2,931,041 8,793,124 4,396,562 2,198,281 6,594,844 3,297,422 1,648,711 4,946,134 2,473,067 7,419,202 3,709,601 11,128,804 5,564,402 2,782,201 8,346,604 4,173,302 2,086,651 6,259,954 3,129,977 9,389,932 4,694,966 2,347,483 7,042,450 3,521,225 10,563,676 5,281,838 2,640,919 7,922,758 3,961,379 11,884,138

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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