λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,322,726
26,322,726
2 × 3 × 47 × 269 × 347
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 47 × 269 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,120,960
Proper Divisor Sum 27,798,234
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #26322713 ← → #26322731

Radix Representation

Decimal 26322726
Binary 1100100011010011100100110 (25 bits)
Octal 0o144323446
Hexadecimal 0x191A726

Divisor Catalog (32)

1 2 3 6 47 94 141 269 282 347 538 694 807 1,041 1,614 2,082 12,643 16,309 25,286 32,618 37,929 48,927 75,858 93,343 97,854 186,686 280,029 560,058 4,387,121 8,774,242 13,161,363 26,322,726

Collatz Trajectory (198 steps to reach 1)

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

26,322,726 13,161,363 39,484,090 19,742,045 59,226,136 29,613,068 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 #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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