Integer 852,839 Profile | Ratio Atlas

852,839

13 × 17² × 227

Prime Factor Structure

Factorization String 13 × 17^2 × 227

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 979,944

Proper Divisor Sum 127,105

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #852833 ← → #852847

Radix Representation

Decimal	852839
Binary	11010000001101100111 (20 bits)
Octal	0o3201547
Hexadecimal	0xD0367

Divisor Catalog (12)

1 13 17 221 227 289 2,951 3,757 3,859 50,167 65,603 852,839

Collatz Trajectory (188 steps to reach 1)

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

852,839 2,558,518 1,279,259 3,837,778 1,918,889 5,756,668 2,878,334 1,439,167 4,317,502 2,158,751 6,476,254 3,238,127 9,714,382 4,857,191 14,571,574 7,285,787 21,857,362 10,928,681 32,786,044 16,393,022 8,196,511 24,589,534 12,294,767 36,884,302 18,442,151 55,326,454 27,663,227 82,989,682 41,494,841 124,484,524 62,242,262 31,121,131 93,363,394 46,681,697 140,045,092 70,022,546 35,011,273 105,033,820 52,516,910 26,258,455 78,775,366 39,387,683 118,163,050 59,081,525 177,244,576 88,622,288 44,311,144 22,155,572 11,077,786 5,538,893 16,616,680 8,308,340 4,154,170 2,077,085 6,231,256 3,115,628 1,557,814 778,907 2,336,722 1,168,361

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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