λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,242,559
12,242,559
3 × 7 × 41 × 59 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 41 × 59 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,514,880
Proper Divisor Sum 7,272,321
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #12242557 ← → #12242561

Radix Representation

Decimal 12242559
Binary 101110101100111001111111 (24 bits)
Octal 0o56547177
Hexadecimal 0xBACE7F

Divisor Catalog (32)

1 3 7 21 41 59 123 177 241 287 413 723 861 1,239 1,687 2,419 5,061 7,257 9,881 14,219 16,933 29,643 42,657 50,799 69,167 99,533 207,501 298,599 582,979 1,748,937 4,080,853 12,242,559

Collatz Trajectory (140 steps to reach 1)

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

12,242,559 36,727,678 18,363,839 55,091,518 27,545,759 82,637,278 41,318,639 123,955,918 61,977,959 185,933,878 92,966,939 278,900,818 139,450,409 418,351,228 209,175,614 104,587,807 313,763,422 156,881,711 470,645,134 235,322,567 705,967,702 352,983,851 1,058,951,554 529,475,777 1,588,427,332 794,213,666 397,106,833 1,191,320,500 595,660,250 297,830,125 893,490,376 446,745,188 223,372,594 111,686,297 335,058,892 167,529,446 83,764,723 251,294,170 125,647,085 376,941,256 188,470,628 94,235,314 47,117,657 141,352,972 70,676,486 35,338,243 106,014,730 53,007,365 159,022,096 79,511,048 39,755,524 19,877,762 9,938,881 29,816,644 14,908,322 7,454,161 22,362,484 11,181,242 5,590,621 16,771,864

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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