λ
Ratio Atlas
Atlas › Integer Profiles › Node 73,670,140
73,670,140
22 × 5 × 73 × 50459
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 73 × 50459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 156,829,680
Proper Divisor Sum 83,159,540
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #73670123 ← → #73670141

Radix Representation

Decimal 73670140
Binary 100011001000001110111111100 (27 bits)
Octal 0o431016774
Hexadecimal 0x4641DFC

Divisor Catalog (24)

1 2 4 5 10 20 73 146 292 365 730 1,460 50,459 100,918 201,836 252,295 504,590 1,009,180 3,683,507 7,367,014 14,734,028 18,417,535 36,835,070 73,670,140

Collatz Trajectory (228 steps to reach 1)

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

73,670,140 36,835,070 18,417,535 55,252,606 27,626,303 82,878,910 41,439,455 124,318,366 62,159,183 186,477,550 93,238,775 279,716,326 139,858,163 419,574,490 209,787,245 629,361,736 314,680,868 157,340,434 78,670,217 236,010,652 118,005,326 59,002,663 177,007,990 88,503,995 265,511,986 132,755,993 398,267,980 199,133,990 99,566,995 298,700,986 149,350,493 448,051,480 224,025,740 112,012,870 56,006,435 168,019,306 84,009,653 252,028,960 126,014,480 63,007,240 31,503,620 15,751,810 7,875,905 23,627,716 11,813,858 5,906,929 17,720,788 8,860,394 4,430,197 13,290,592 6,645,296 3,322,648 1,661,324 830,662 415,331 1,245,994 622,997 1,868,992 934,496 467,248

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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