λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,789,112
6,789,112
23 × 11 × 179 × 431
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 179 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,996,800
Proper Divisor Sum 7,207,688
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6789089 ← → #6789121

Radix Representation

Decimal 6789112
Binary 11001111001011111111000 (23 bits)
Octal 0o31713770
Hexadecimal 0x6797F8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 179 358 431 716 862 1,432 1,724 1,969 3,448 3,938 4,741 7,876 9,482 15,752 18,964 37,928 77,149 154,298 308,596 617,192 848,639 1,697,278 3,394,556 6,789,112

Collatz Trajectory (165 steps to reach 1)

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

6,789,112 3,394,556 1,697,278 848,639 2,545,918 1,272,959 3,818,878 1,909,439 5,728,318 2,864,159 8,592,478 4,296,239 12,888,718 6,444,359 19,333,078 9,666,539 28,999,618 14,499,809 43,499,428 21,749,714 10,874,857 32,624,572 16,312,286 8,156,143 24,468,430 12,234,215 36,702,646 18,351,323 55,053,970 27,526,985 82,580,956 41,290,478 20,645,239 61,935,718 30,967,859 92,903,578 46,451,789 139,355,368 69,677,684 34,838,842 17,419,421 52,258,264 26,129,132 13,064,566 6,532,283 19,596,850 9,798,425 29,395,276 14,697,638 7,348,819 22,046,458 11,023,229 33,069,688 16,534,844 8,267,422 4,133,711 12,401,134 6,200,567 18,601,702 9,300,851

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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