λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,966,345
36,966,345
3 × 5 × 13 × 293 × 647
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 293 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,012,032
Proper Divisor Sum 27,045,687
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36966341 ← → #36966361

Radix Representation

Decimal 36966345
Binary 10001101000000111111001001 (26 bits)
Octal 0o215007711
Hexadecimal 0x2340FC9

Divisor Catalog (32)

1 3 5 13 15 39 65 195 293 647 879 1,465 1,941 3,235 3,809 4,395 8,411 9,705 11,427 19,045 25,233 42,055 57,135 126,165 189,571 568,713 947,855 2,464,423 2,843,565 7,393,269 12,322,115 36,966,345

Collatz Trajectory (227 steps to reach 1)

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

36,966,345 110,899,036 55,449,518 27,724,759 83,174,278 41,587,139 124,761,418 62,380,709 187,142,128 93,571,064 46,785,532 23,392,766 11,696,383 35,089,150 17,544,575 52,633,726 26,316,863 78,950,590 39,475,295 118,425,886 59,212,943 177,638,830 88,819,415 266,458,246 133,229,123 399,687,370 199,843,685 599,531,056 299,765,528 149,882,764 74,941,382 37,470,691 112,412,074 56,206,037 168,618,112 84,309,056 42,154,528 21,077,264 10,538,632 5,269,316 2,634,658 1,317,329 3,951,988 1,975,994 987,997 2,963,992 1,481,996 740,998 370,499 1,111,498 555,749 1,667,248 833,624 416,812 208,406 104,203 312,610 156,305 468,916 234,458

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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