λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,322,725
26,322,725
52 × 11 × 13 × 37 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 11 × 13 × 37 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,580,800
Proper Divisor Sum 13,258,075
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #26322713 ← → #26322731

Radix Representation

Decimal 26322725
Binary 1100100011010011100100101 (25 bits)
Octal 0o144323445
Hexadecimal 0x191A725

Divisor Catalog (48)

1 5 11 13 25 37 55 65 143 185 199 275 325 407 481 715 925 995 2,035 2,189 2,405 2,587 3,575 4,975 5,291 7,363 10,175 10,945 12,025 12,935 26,455 28,457 36,815 54,725 64,675 80,993 95,719 132,275 142,285 184,075 404,965 478,595 711,425 1,052,909 2,024,825 2,392,975 5,264,545 26,322,725

Collatz Trajectory (198 steps to reach 1)

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

26,322,725 78,968,176 39,484,088 19,742,044 9,871,022 4,935,511 14,806,534 7,403,267 22,209,802 11,104,901 33,314,704 16,657,352 8,328,676 4,164,338 2,082,169 6,246,508 3,123,254 1,561,627 4,684,882 2,342,441 7,027,324 3,513,662 1,756,831 5,270,494 2,635,247 7,905,742 3,952,871 11,858,614 5,929,307 17,787,922 8,893,961 26,681,884 13,340,942 6,670,471 20,011,414 10,005,707 30,017,122 15,008,561 45,025,684 22,512,842 11,256,421 33,769,264 16,884,632 8,442,316 4,221,158 2,110,579 6,331,738 3,165,869 9,497,608 4,748,804 2,374,402 1,187,201 3,561,604 1,780,802 890,401 2,671,204 1,335,602 667,801 2,003,404 1,001,702

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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