λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,095,152
8,095,152
24 × 3 × 13 × 12973
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 12973
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,522,864
Proper Divisor Sum 14,427,712
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8095151 ← → #8095177

Radix Representation

Decimal 8095152
Binary 11110111000010110110000 (23 bits)
Octal 0o36702660
Hexadecimal 0x7B85B0

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 12,973 25,946 38,919 51,892 77,838 103,784 155,676 168,649 207,568 311,352 337,298 505,947 622,704 674,596 1,011,894 1,349,192 2,023,788 2,698,384 4,047,576 8,095,152

Collatz Trajectory (199 steps to reach 1)

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

8,095,152 4,047,576 2,023,788 1,011,894 505,947 1,517,842 758,921 2,276,764 1,138,382 569,191 1,707,574 853,787 2,561,362 1,280,681 3,842,044 1,921,022 960,511 2,881,534 1,440,767 4,322,302 2,161,151 6,483,454 3,241,727 9,725,182 4,862,591 14,587,774 7,293,887 21,881,662 10,940,831 32,822,494 16,411,247 49,233,742 24,616,871 73,850,614 36,925,307 110,775,922 55,387,961 166,163,884 83,081,942 41,540,971 124,622,914 62,311,457 186,934,372 93,467,186 46,733,593 140,200,780 70,100,390 35,050,195 105,150,586 52,575,293 157,725,880 78,862,940 39,431,470 19,715,735 59,147,206 29,573,603 88,720,810 44,360,405 133,081,216 66,540,608

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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