λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,311,632
26,311,632
24 × 3 × 23 × 23833
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 23833
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 70,929,984
Proper Divisor Sum 44,618,352
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #26311603 ← → #26311633

Radix Representation

Decimal 26311632
Binary 1100100010111101111010000 (25 bits)
Octal 0o144275720
Hexadecimal 0x1917BD0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,104 23,833 47,666 71,499 95,332 142,998 190,664 285,996 381,328 548,159 571,992 1,096,318 1,143,984 1,644,477 2,192,636 3,288,954 4,385,272 6,577,908 8,770,544 13,155,816 26,311,632

Collatz Trajectory (224 steps to reach 1)

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

26,311,632 13,155,816 6,577,908 3,288,954 1,644,477 4,933,432 2,466,716 1,233,358 616,679 1,850,038 925,019 2,775,058 1,387,529 4,162,588 2,081,294 1,040,647 3,121,942 1,560,971 4,682,914 2,341,457 7,024,372 3,512,186 1,756,093 5,268,280 2,634,140 1,317,070 658,535 1,975,606 987,803 2,963,410 1,481,705 4,445,116 2,222,558 1,111,279 3,333,838 1,666,919 5,000,758 2,500,379 7,501,138 3,750,569 11,251,708 5,625,854 2,812,927 8,438,782 4,219,391 12,658,174 6,329,087 18,987,262 9,493,631 28,480,894 14,240,447 42,721,342 21,360,671 64,082,014 32,041,007 96,123,022 48,061,511 144,184,534 72,092,267 216,276,802

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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