λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,092,522
10,092,522
2 × 3 × 11 × 29 × 5273
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 29 × 5273
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,783,680
Proper Divisor Sum 12,691,158
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10092503 ← → #10092529

Radix Representation

Decimal 10092522
Binary 100110011111111111101010 (24 bits)
Octal 0o46377752
Hexadecimal 0x99FFEA

Divisor Catalog (32)

1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1,914 5,273 10,546 15,819 31,638 58,003 116,006 152,917 174,009 305,834 348,018 458,751 917,502 1,682,087 3,364,174 5,046,261 10,092,522

Collatz Trajectory (313 steps to reach 1)

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

10,092,522 5,046,261 15,138,784 7,569,392 3,784,696 1,892,348 946,174 473,087 1,419,262 709,631 2,128,894 1,064,447 3,193,342 1,596,671 4,790,014 2,395,007 7,185,022 3,592,511 10,777,534 5,388,767 16,166,302 8,083,151 24,249,454 12,124,727 36,374,182 18,187,091 54,561,274 27,280,637 81,841,912 40,920,956 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 #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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