λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,311,648
26,311,648
25 × 11 × 17 × 4397
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 11 × 17 × 4397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,847,984
Proper Divisor Sum 33,536,336
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26311643 ← → #26311651

Radix Representation

Decimal 26311648
Binary 1100100010111101111100000 (25 bits)
Octal 0o144275740
Hexadecimal 0x1917BE0

Divisor Catalog (48)

1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1,496 2,992 4,397 5,984 8,794 17,588 35,176 48,367 70,352 74,749 96,734 140,704 149,498 193,468 298,996 386,936 597,992 773,872 822,239 1,195,984 1,547,744 1,644,478 2,391,968 3,288,956 6,577,912 13,155,824 26,311,648

Collatz Trajectory (224 steps to reach 1)

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

26,311,648 13,155,824 6,577,912 3,288,956 1,644,478 822,239 2,466,718 1,233,359 3,700,078 1,850,039 5,550,118 2,775,059 8,325,178 4,162,589 12,487,768 6,243,884 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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