λ
Ratio Atlas
Atlas › Integer Profiles › Node 75,972,735
75,972,735
36 × 5 × 19 × 1097
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 5 × 19 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 144,013,680
Proper Divisor Sum 68,040,945
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #75972731 ← → #75972739

Radix Representation

Decimal 75972735
Binary 100100001110100000001111111 (27 bits)
Octal 0o441640177
Hexadecimal 0x487407F

Divisor Catalog (56)

1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 405 513 729 855 1,097 1,215 1,539 2,565 3,291 3,645 4,617 5,485 7,695 9,873 13,851 16,455 20,843 23,085 29,619 49,365 62,529 69,255 88,857 104,215 148,095 187,587 266,571 312,645 444,285 562,761 799,713 937,935 1,332,855 1,688,283 2,813,805 3,998,565 5,064,849 8,441,415 15,194,547 25,324,245 75,972,735

Collatz Trajectory (153 steps to reach 1)

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

75,972,735 227,918,206 113,959,103 341,877,310 170,938,655 512,815,966 256,407,983 769,223,950 384,611,975 1,153,835,926 576,917,963 1,730,753,890 865,376,945 2,596,130,836 1,298,065,418 649,032,709 1,947,098,128 973,549,064 486,774,532 243,387,266 121,693,633 365,080,900 182,540,450 91,270,225 273,810,676 136,905,338 68,452,669 205,358,008 102,679,004 51,339,502 25,669,751 77,009,254 38,504,627 115,513,882 57,756,941 173,270,824 86,635,412 43,317,706 21,658,853 64,976,560 32,488,280 16,244,140 8,122,070 4,061,035 12,183,106 6,091,553 18,274,660 9,137,330 4,568,665 13,705,996 6,852,998 3,426,499 10,279,498 5,139,749 15,419,248 7,709,624 3,854,812 1,927,406 963,703 2,891,110

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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