λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,323,340
61,323,340
22 × 5 × 132 × 18143
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 18143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 139,454,784
Proper Divisor Sum 78,131,444
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #61323329 ← → #61323341

Radix Representation

Decimal 61323340
Binary 11101001111011100001001100 (26 bits)
Octal 0o351734114
Hexadecimal 0x3A7B84C

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1,690 3,380 18,143 36,286 72,572 90,715 181,430 235,859 362,860 471,718 943,436 1,179,295 2,358,590 3,066,167 4,717,180 6,132,334 12,264,668 15,330,835 30,661,670 61,323,340

Collatz Trajectory (189 steps to reach 1)

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

61,323,340 30,661,670 15,330,835 45,992,506 22,996,253 68,988,760 34,494,380 17,247,190 8,623,595 25,870,786 12,935,393 38,806,180 19,403,090 9,701,545 29,104,636 14,552,318 7,276,159 21,828,478 10,914,239 32,742,718 16,371,359 49,114,078 24,557,039 73,671,118 36,835,559 110,506,678 55,253,339 165,760,018 82,880,009 248,640,028 124,320,014 62,160,007 186,480,022 93,240,011 279,720,034 139,860,017 419,580,052 209,790,026 104,895,013 314,685,040 157,342,520 78,671,260 39,335,630 19,667,815 59,003,446 29,501,723 88,505,170 44,252,585 132,757,756 66,378,878 33,189,439 99,568,318 49,784,159 149,352,478 74,676,239 224,028,718 112,014,359 336,043,078 168,021,539 504,064,618

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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