λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,322,672
26,322,672
24 × 3 × 23 × 113 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 113 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 71,923,968
Proper Divisor Sum 45,601,296
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #26322671 ← → #26322683

Radix Representation

Decimal 26322672
Binary 1100100011010011011110000 (25 bits)
Octal 0o144323360
Hexadecimal 0x191A6F0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 113 138 184 211 226 276 339 368 422 452 552 633 678 844 904 1,104 1,266 1,356 1,688 1,808 2,532 2,599 2,712 3,376 4,853 5,064 5,198 5,424 7,797 9,706 10,128 10,396 14,559 15,594 19,412 20,792 23,843 29,118 31,188 38,824 41,584 47,686 58,236 62,376 71,529 77,648

Collatz Trajectory (224 steps to reach 1)

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

26,322,672 13,161,336 6,580,668 3,290,334 1,645,167 4,935,502 2,467,751 7,403,254 3,701,627 11,104,882 5,552,441 16,657,324 8,328,662 4,164,331 12,492,994 6,246,497 18,739,492 9,369,746 4,684,873 14,054,620 7,027,310 3,513,655 10,540,966 5,270,483 15,811,450 7,905,725 23,717,176 11,858,588 5,929,294 2,964,647 8,893,942 4,446,971 13,340,914 6,670,457 20,011,372 10,005,686 5,002,843 15,008,530 7,504,265 22,512,796 11,256,398 5,628,199 16,884,598 8,442,299 25,326,898 12,663,449 37,990,348 18,995,174 9,497,587 28,492,762 14,246,381 42,739,144 21,369,572 10,684,786 5,342,393 16,027,180 8,013,590 4,006,795 12,020,386 6,010,193

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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