λ
Ratio Atlas
Atlas › Integer Profiles › Node 92,682,729
92,682,729
32 × 61 × 401 × 421
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 61 × 401 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 136,733,064
Proper Divisor Sum 44,050,335
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #92682727 ← → #92682757

Radix Representation

Decimal 92682729
Binary 101100001100011100111101001 (27 bits)
Octal 0o541434751
Hexadecimal 0x58639E9

Divisor Catalog (24)

1 3 9 61 183 401 421 549 1,203 1,263 3,609 3,789 24,461 25,681 73,383 77,043 168,821 220,149 231,129 506,463 1,519,389 10,298,081 30,894,243 92,682,729

Collatz Trajectory (249 steps to reach 1)

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

92,682,729 278,048,188 139,024,094 69,512,047 208,536,142 104,268,071 312,804,214 156,402,107 469,206,322 234,603,161 703,809,484 351,904,742 175,952,371 527,857,114 263,928,557 791,785,672 395,892,836 197,946,418 98,973,209 296,919,628 148,459,814 74,229,907 222,689,722 111,344,861 334,034,584 167,017,292 83,508,646 41,754,323 125,262,970 62,631,485 187,894,456 93,947,228 46,973,614 23,486,807 70,460,422 35,230,211 105,690,634 52,845,317 158,535,952 79,267,976 39,633,988 19,816,994 9,908,497 29,725,492 14,862,746 7,431,373 22,294,120 11,147,060 5,573,530 2,786,765 8,360,296 4,180,148 2,090,074 1,045,037 3,135,112 1,567,556 783,778 391,889 1,175,668 587,834

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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