λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,794,872
6,794,872
23 × 7 × 67 × 1811
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 67 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,785,920
Proper Divisor Sum 7,991,048
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6794863 ← → #6794873

Radix Representation

Decimal 6794872
Binary 11001111010111001111000 (23 bits)
Octal 0o31727170
Hexadecimal 0x67AE78

Divisor Catalog (32)

1 2 4 7 8 14 28 56 67 134 268 469 536 938 1,811 1,876 3,622 3,752 7,244 12,677 14,488 25,354 50,708 101,416 121,337 242,674 485,348 849,359 970,696 1,698,718 3,397,436 6,794,872

Collatz Trajectory (253 steps to reach 1)

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

6,794,872 3,397,436 1,698,718 849,359 2,548,078 1,274,039 3,822,118 1,911,059 5,733,178 2,866,589 8,599,768 4,299,884 2,149,942 1,074,971 3,224,914 1,612,457 4,837,372 2,418,686 1,209,343 3,628,030 1,814,015 5,442,046 2,721,023 8,163,070 4,081,535 12,244,606 6,122,303 18,366,910 9,183,455 27,550,366 13,775,183 41,325,550 20,662,775 61,988,326 30,994,163 92,982,490 46,491,245 139,473,736 69,736,868 34,868,434 17,434,217 52,302,652 26,151,326 13,075,663 39,226,990 19,613,495 58,840,486 29,420,243 88,260,730 44,130,365 132,391,096 66,195,548 33,097,774 16,548,887 49,646,662 24,823,331 74,469,994 37,234,997 111,704,992 55,852,496

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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