λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,470,940
12,470,940
22 × 32 × 5 × 79 × 877
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 79 × 877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 38,351,040
Proper Divisor Sum 25,880,100
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12470917 ← → #12470971

Radix Representation

Decimal 12470940
Binary 101111100100101010011100 (24 bits)
Octal 0o57445234
Hexadecimal 0xBE4A9C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 877 948 1,185 1,422 1,580 1,754 2,370 2,631 2,844 3,508 3,555 4,385 4,740 5,262 7,110 7,893 8,770 10,524 13,155 14,220 15,786 17,540 26,310 31,572 39,465 52,620 69,283 78,930 138,566 157,860 207,849 277,132 346,415 415,698

Collatz Trajectory (158 steps to reach 1)

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

12,470,940 6,235,470 3,117,735 9,353,206 4,676,603 14,029,810 7,014,905 21,044,716 10,522,358 5,261,179 15,783,538 7,891,769 23,675,308 11,837,654 5,918,827 17,756,482 8,878,241 26,634,724 13,317,362 6,658,681 19,976,044 9,988,022 4,994,011 14,982,034 7,491,017 22,473,052 11,236,526 5,618,263 16,854,790 8,427,395 25,282,186 12,641,093 37,923,280 18,961,640 9,480,820 4,740,410 2,370,205 7,110,616 3,555,308 1,777,654 888,827 2,666,482 1,333,241 3,999,724 1,999,862 999,931 2,999,794 1,499,897 4,499,692 2,249,846 1,124,923 3,374,770 1,687,385 5,062,156 2,531,078 1,265,539 3,796,618 1,898,309 5,694,928 2,847,464

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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