λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,978,062
6,978,062
2 × 7 × 13 × 23 × 1667
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 23 × 1667
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,450,752
Proper Divisor Sum 6,472,690
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6978061 ← → #6978091

Radix Representation

Decimal 6978062
Binary 11010100111101000001110 (23 bits)
Octal 0o32475016
Hexadecimal 0x6A7A0E

Divisor Catalog (32)

1 2 7 13 14 23 26 46 91 161 182 299 322 598 1,667 2,093 3,334 4,186 11,669 21,671 23,338 38,341 43,342 76,682 151,697 268,387 303,394 498,433 536,774 996,866 3,489,031 6,978,062

Collatz Trajectory (253 steps to reach 1)

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

6,978,062 3,489,031 10,467,094 5,233,547 15,700,642 7,850,321 23,550,964 11,775,482 5,887,741 17,663,224 8,831,612 4,415,806 2,207,903 6,623,710 3,311,855 9,935,566 4,967,783 14,903,350 7,451,675 22,355,026 11,177,513 33,532,540 16,766,270 8,383,135 25,149,406 12,574,703 37,724,110 18,862,055 56,586,166 28,293,083 84,879,250 42,439,625 127,318,876 63,659,438 31,829,719 95,489,158 47,744,579 143,233,738 71,616,869 214,850,608 107,425,304 53,712,652 26,856,326 13,428,163 40,284,490 20,142,245 60,426,736 30,213,368 15,106,684 7,553,342 3,776,671 11,330,014 5,665,007 16,995,022 8,497,511 25,492,534 12,746,267 38,238,802 19,119,401 57,358,204

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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