λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,992,796
12,992,796
22 × 32 × 107 × 3373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 107 × 3373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 33,159,672
Proper Divisor Sum 20,166,876
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #12992761 ← → #12992797

Radix Representation

Decimal 12992796
Binary 110001100100000100011100 (24 bits)
Octal 0o61440434
Hexadecimal 0xC6411C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1,284 1,926 3,373 3,852 6,746 10,119 13,492 20,238 30,357 40,476 60,714 121,428 360,911 721,822 1,082,733 1,443,644 2,165,466 3,248,199 4,330,932 6,496,398 12,992,796

Collatz Trajectory (202 steps to reach 1)

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

12,992,796 6,496,398 3,248,199 9,744,598 4,872,299 14,616,898 7,308,449 21,925,348 10,962,674 5,481,337 16,444,012 8,222,006 4,111,003 12,333,010 6,166,505 18,499,516 9,249,758 4,624,879 13,874,638 6,937,319 20,811,958 10,405,979 31,217,938 15,608,969 46,826,908 23,413,454 11,706,727 35,120,182 17,560,091 52,680,274 26,340,137 79,020,412 39,510,206 19,755,103 59,265,310 29,632,655 88,897,966 44,448,983 133,346,950 66,673,475 200,020,426 100,010,213 300,030,640 150,015,320 75,007,660 37,503,830 18,751,915 56,255,746 28,127,873 84,383,620 42,191,810 21,095,905 63,287,716 31,643,858 15,821,929 47,465,788 23,732,894 11,866,447 35,599,342 17,799,671

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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