λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,315,838
26,315,838
2 × 32 × 31 × 47161
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 47161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 58,858,176
Proper Divisor Sum 32,542,338
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26315837 ← → #26315857

Radix Representation

Decimal 26315838
Binary 1100100011000110000111110 (25 bits)
Octal 0o144306076
Hexadecimal 0x1918C3E

Divisor Catalog (24)

1 2 3 6 9 18 31 62 93 186 279 558 47,161 94,322 141,483 282,966 424,449 848,898 1,461,991 2,923,982 4,385,973 8,771,946 13,157,919 26,315,838

Collatz Trajectory (224 steps to reach 1)

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

26,315,838 13,157,919 39,473,758 19,736,879 59,210,638 29,605,319 88,815,958 44,407,979 133,223,938 66,611,969 199,835,908 99,917,954 49,958,977 149,876,932 74,938,466 37,469,233 112,407,700 56,203,850 28,101,925 84,305,776 42,152,888 21,076,444 10,538,222 5,269,111 15,807,334 7,903,667 23,711,002 11,855,501 35,566,504 17,783,252 8,891,626 4,445,813 13,337,440 6,668,720 3,334,360 1,667,180 833,590 416,795 1,250,386 625,193 1,875,580 937,790 468,895 1,406,686 703,343 2,110,030 1,055,015 3,165,046 1,582,523 4,747,570 2,373,785 7,121,356 3,560,678 1,780,339 5,341,018 2,670,509 8,011,528 4,005,764 2,002,882 1,001,441

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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