λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,380,945
61,380,945
32 × 5 × 59 × 61 × 379
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 59 × 61 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 110,260,800
Proper Divisor Sum 48,879,855
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61380941 ← → #61380947

Radix Representation

Decimal 61380945
Binary 11101010001001100101010001 (26 bits)
Octal 0o352114521
Hexadecimal 0x3A89951

Divisor Catalog (48)

1 3 5 9 15 45 59 61 177 183 295 305 379 531 549 885 915 1,137 1,895 2,655 2,745 3,411 3,599 5,685 10,797 17,055 17,995 22,361 23,119 32,391 53,985 67,083 69,357 111,805 115,595 161,955 201,249 208,071 335,415 346,785 1,006,245 1,040,355 1,364,021 4,092,063 6,820,105 12,276,189 20,460,315 61,380,945

Collatz Trajectory (207 steps to reach 1)

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

61,380,945 184,142,836 92,071,418 46,035,709 138,107,128 69,053,564 34,526,782 17,263,391 51,790,174 25,895,087 77,685,262 38,842,631 116,527,894 58,263,947 174,791,842 87,395,921 262,187,764 131,093,882 65,546,941 196,640,824 98,320,412 49,160,206 24,580,103 73,740,310 36,870,155 110,610,466 55,305,233 165,915,700 82,957,850 41,478,925 124,436,776 62,218,388 31,109,194 15,554,597 46,663,792 23,331,896 11,665,948 5,832,974 2,916,487 8,749,462 4,374,731 13,124,194 6,562,097 19,686,292 9,843,146 4,921,573 14,764,720 7,382,360 3,691,180 1,845,590 922,795 2,768,386 1,384,193 4,152,580 2,076,290 1,038,145 3,114,436 1,557,218 778,609 2,335,828

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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