λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,007,292
51,007,292
22 × 7 × 137 × 13297
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 137 × 13297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 102,766,944
Proper Divisor Sum 51,759,652
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #51007291 ← → #51007337

Radix Representation

Decimal 51007292
Binary 11000010100100111100111100 (26 bits)
Octal 0o302447474
Hexadecimal 0x30A4F3C

Divisor Catalog (24)

1 2 4 7 14 28 137 274 548 959 1,918 3,836 13,297 26,594 53,188 93,079 186,158 372,316 1,821,689 3,643,378 7,286,756 12,751,823 25,503,646 51,007,292

Collatz Trajectory (150 steps to reach 1)

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

51,007,292 25,503,646 12,751,823 38,255,470 19,127,735 57,383,206 28,691,603 86,074,810 43,037,405 129,112,216 64,556,108 32,278,054 16,139,027 48,417,082 24,208,541 72,625,624 36,312,812 18,156,406 9,078,203 27,234,610 13,617,305 40,851,916 20,425,958 10,212,979 30,638,938 15,319,469 45,958,408 22,979,204 11,489,602 5,744,801 17,234,404 8,617,202 4,308,601 12,925,804 6,462,902 3,231,451 9,694,354 4,847,177 14,541,532 7,270,766 3,635,383 10,906,150 5,453,075 16,359,226 8,179,613 24,538,840 12,269,420 6,134,710 3,067,355 9,202,066 4,601,033 13,803,100 6,901,550 3,450,775 10,352,326 5,176,163 15,528,490 7,764,245 23,292,736 11,646,368

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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