λ
Ratio Atlas
Atlas › Integer Profiles › Node 678,366
678,366
2 × 32 × 132 × 223
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13^2 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,598,688
Proper Divisor Sum 920,322
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #678343 ← → #678367

Radix Representation

Decimal 678366
Binary 10100101100111011110 (20 bits)
Octal 0o2454736
Hexadecimal 0xA59DE

Divisor Catalog (36)

1 2 3 6 9 13 18 26 39 78 117 169 223 234 338 446 507 669 1,014 1,338 1,521 2,007 2,899 3,042 4,014 5,798 8,697 17,394 26,091 37,687 52,182 75,374 113,061 226,122 339,183 678,366

Collatz Trajectory (229 steps to reach 1)

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

678,366 339,183 1,017,550 508,775 1,526,326 763,163 2,289,490 1,144,745 3,434,236 1,717,118 858,559 2,575,678 1,287,839 3,863,518 1,931,759 5,795,278 2,897,639 8,692,918 4,346,459 13,039,378 6,519,689 19,559,068 9,779,534 4,889,767 14,669,302 7,334,651 22,003,954 11,001,977 33,005,932 16,502,966 8,251,483 24,754,450 12,377,225 37,131,676 18,565,838 9,282,919 27,848,758 13,924,379 41,773,138 20,886,569 62,659,708 31,329,854 15,664,927 46,994,782 23,497,391 70,492,174 35,246,087 105,738,262 52,869,131 158,607,394 79,303,697 237,911,092 118,955,546 59,477,773 178,433,320 89,216,660 44,608,330 22,304,165 66,912,496 33,456,248

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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