λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,138,255
51,138,255
3 × 5 × 7 × 37 × 13163
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 37 × 13163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 96,044,544
Proper Divisor Sum 44,906,289
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #51138229 ← → #51138271

Radix Representation

Decimal 51138255
Binary 11000011000100111011001111 (26 bits)
Octal 0o303047317
Hexadecimal 0x30C4ECF

Divisor Catalog (32)

1 3 5 7 15 21 35 37 105 111 185 259 555 777 1,295 3,885 13,163 39,489 65,815 92,141 197,445 276,423 460,705 487,031 1,382,115 1,461,093 2,435,155 3,409,217 7,305,465 10,227,651 17,046,085 51,138,255

Collatz Trajectory (230 steps to reach 1)

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

51,138,255 153,414,766 76,707,383 230,122,150 115,061,075 345,183,226 172,591,613 517,774,840 258,887,420 129,443,710 64,721,855 194,165,566 97,082,783 291,248,350 145,624,175 436,872,526 218,436,263 655,308,790 327,654,395 982,963,186 491,481,593 1,474,444,780 737,222,390 368,611,195 1,105,833,586 552,916,793 1,658,750,380 829,375,190 414,687,595 1,244,062,786 622,031,393 1,866,094,180 933,047,090 466,523,545 1,399,570,636 699,785,318 349,892,659 1,049,677,978 524,838,989 1,574,516,968 787,258,484 393,629,242 196,814,621 590,443,864 295,221,932 147,610,966 73,805,483 221,416,450 110,708,225 332,124,676 166,062,338 83,031,169 249,093,508 124,546,754 62,273,377 186,820,132 93,410,066 46,705,033 140,115,100 70,057,550

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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