λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,007,288
51,007,288
23 × 29 × 43 × 5113
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 29 × 43 × 5113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,257,200
Proper Divisor Sum 50,249,912
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #51007249 ← → #51007289

Radix Representation

Decimal 51007288
Binary 11000010100100111100111000 (26 bits)
Octal 0o302447470
Hexadecimal 0x30A4F38

Divisor Catalog (32)

1 2 4 8 29 43 58 86 116 172 232 344 1,247 2,494 4,988 5,113 9,976 10,226 20,452 40,904 148,277 219,859 296,554 439,718 593,108 879,436 1,186,216 1,758,872 6,375,911 12,751,822 25,503,644 51,007,288

Collatz Trajectory (150 steps to reach 1)

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

51,007,288 25,503,644 12,751,822 6,375,911 19,127,734 9,563,867 28,691,602 14,345,801 43,037,404 21,518,702 10,759,351 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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