λ
Ratio Atlas
Atlas › Integer Profiles › Node 92,682,387
92,682,387
35 × 7 × 232 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7 × 23^2 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 167,474,944
Proper Divisor Sum 74,792,557
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #92682377 ← → #92682389

Radix Representation

Decimal 92682387
Binary 101100001100011100010010011 (27 bits)
Octal 0o541434223
Hexadecimal 0x5863893

Divisor Catalog (60 of 72)

1 3 7 9 21 23 27 63 69 81 103 161 189 207 243 309 483 529 567 621 721 927 1,449 1,587 1,701 1,863 2,163 2,369 2,781 3,703 4,347 4,761 5,589 6,489 7,107 8,343 11,109 13,041 14,283 16,583 19,467 21,321 25,029 33,327 39,123 42,849 49,749 54,487 58,401 63,963 99,981 128,547 149,247 163,461 175,203 191,889 299,943 381,409 447,741 490,383

Collatz Trajectory (386 steps to reach 1)

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

92,682,387 278,047,162 139,023,581 417,070,744 208,535,372 104,267,686 52,133,843 156,401,530 78,200,765 234,602,296 117,301,148 58,650,574 29,325,287 87,975,862 43,987,931 131,963,794 65,981,897 197,945,692 98,972,846 49,486,423 148,459,270 74,229,635 222,688,906 111,344,453 334,033,360 167,016,680 83,508,340 41,754,170 20,877,085 62,631,256 31,315,628 15,657,814 7,828,907 23,486,722 11,743,361 35,230,084 17,615,042 8,807,521 26,422,564 13,211,282 6,605,641 19,816,924 9,908,462 4,954,231 14,862,694 7,431,347 22,294,042 11,147,021 33,441,064 16,720,532 8,360,266 4,180,133 12,540,400 6,270,200 3,135,100 1,567,550 783,775 2,351,326 1,175,663 3,526,990

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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