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Ratio Atlas
Atlas › Integer Profiles › Node 10,092,515
10,092,515
5 × 19 × 23 × 31 × 149
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 19 × 23 × 31 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,824,000
Proper Divisor Sum 3,731,485
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10092503 ← → #10092529

Radix Representation

Decimal 10092515
Binary 100110011111111111100011 (24 bits)
Octal 0o46377743
Hexadecimal 0x99FFE3

Divisor Catalog (32)

1 5 19 23 31 95 115 149 155 437 589 713 745 2,185 2,831 2,945 3,427 3,565 4,619 13,547 14,155 17,135 23,095 65,113 67,735 87,761 106,237 325,565 438,805 531,185 2,018,503 10,092,515

Collatz Trajectory (313 steps to reach 1)

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

10,092,515 30,277,546 15,138,773 45,416,320 22,708,160 11,354,080 5,677,040 2,838,520 1,419,260 709,630 354,815 1,064,446 532,223 1,596,670 798,335 2,395,006 1,197,503 3,592,510 1,796,255 5,388,766 2,694,383 8,083,150 4,041,575 12,124,726 6,062,363 18,187,090 9,093,545 27,280,636 13,640,318 6,820,159 20,460,478 10,230,239 30,690,718 15,345,359 46,036,078 23,018,039 69,054,118 34,527,059 103,581,178 51,790,589 155,371,768 77,685,884 38,842,942 19,421,471 58,264,414 29,132,207 87,396,622 43,698,311 131,094,934 65,547,467 196,642,402 98,321,201 294,963,604 147,481,802 73,740,901 221,222,704 110,611,352 55,305,676 27,652,838 13,826,419

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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