λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,110,148
51,110,148
22 × 3 × 461 × 9239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 461 × 9239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 119,528,640
Proper Divisor Sum 68,418,492
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #51110123 ← → #51110167

Radix Representation

Decimal 51110148
Binary 11000010111110000100000100 (26 bits)
Octal 0o302760404
Hexadecimal 0x30BE104

Divisor Catalog (24)

1 2 3 4 6 12 461 922 1,383 1,844 2,766 5,532 9,239 18,478 27,717 36,956 55,434 110,868 4,259,179 8,518,358 12,777,537 17,036,716 25,555,074 51,110,148

Collatz Trajectory (137 steps to reach 1)

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

51,110,148 25,555,074 12,777,537 38,332,612 19,166,306 9,583,153 28,749,460 14,374,730 7,187,365 21,562,096 10,781,048 5,390,524 2,695,262 1,347,631 4,042,894 2,021,447 6,064,342 3,032,171 9,096,514 4,548,257 13,644,772 6,822,386 3,411,193 10,233,580 5,116,790 2,558,395 7,675,186 3,837,593 11,512,780 5,756,390 2,878,195 8,634,586 4,317,293 12,951,880 6,475,940 3,237,970 1,618,985 4,856,956 2,428,478 1,214,239 3,642,718 1,821,359 5,464,078 2,732,039 8,196,118 4,098,059 12,294,178 6,147,089 18,441,268 9,220,634 4,610,317 13,830,952 6,915,476 3,457,738 1,728,869 5,186,608 2,593,304 1,296,652 648,326 324,163

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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