λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,155,262
51,155,262
2 × 32 × 211 × 13469
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 211 × 13469
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 111,369,960
Proper Divisor Sum 60,214,698
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51155257 ← → #51155281

Radix Representation

Decimal 51155262
Binary 11000011001001000100111110 (26 bits)
Octal 0o303110476
Hexadecimal 0x30C913E

Divisor Catalog (24)

1 2 3 6 9 18 211 422 633 1,266 1,899 3,798 13,469 26,938 40,407 80,814 121,221 242,442 2,841,959 5,683,918 8,525,877 17,051,754 25,577,631 51,155,262

Collatz Trajectory (261 steps to reach 1)

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

51,155,262 25,577,631 76,732,894 38,366,447 115,099,342 57,549,671 172,649,014 86,324,507 258,973,522 129,486,761 388,460,284 194,230,142 97,115,071 291,345,214 145,672,607 437,017,822 218,508,911 655,526,734 327,763,367 983,290,102 491,645,051 1,474,935,154 737,467,577 2,212,402,732 1,106,201,366 553,100,683 1,659,302,050 829,651,025 2,488,953,076 1,244,476,538 622,238,269 1,866,714,808 933,357,404 466,678,702 233,339,351 700,018,054 350,009,027 1,050,027,082 525,013,541 1,575,040,624 787,520,312 393,760,156 196,880,078 98,440,039 295,320,118 147,660,059 442,980,178 221,490,089 664,470,268 332,235,134 166,117,567 498,352,702 249,176,351 747,529,054 373,764,527 1,121,293,582 560,646,791 1,681,940,374 840,970,187 2,522,910,562

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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