λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,305,910
45,305,910
2 × 32 × 5 × 13 × 38723
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 38723
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 126,859,824
Proper Divisor Sum 81,553,914
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #45305903 ← → #45305927

Radix Representation

Decimal 45305910
Binary 10101100110101000000110110 (26 bits)
Octal 0o254650066
Hexadecimal 0x2B35036

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1,170 38,723 77,446 116,169 193,615 232,338 348,507 387,230 503,399 580,845 697,014 1,006,798 1,161,690 1,510,197 1,742,535 2,516,995 3,020,394 3,485,070 4,530,591 5,033,990 7,550,985 9,061,182 15,101,970 22,652,955 45,305,910

Collatz Trajectory (111 steps to reach 1)

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

45,305,910 22,652,955 67,958,866 33,979,433 101,938,300 50,969,150 25,484,575 76,453,726 38,226,863 114,680,590 57,340,295 172,020,886 86,010,443 258,031,330 129,015,665 387,046,996 193,523,498 96,761,749 290,285,248 145,142,624 72,571,312 36,285,656 18,142,828 9,071,414 4,535,707 13,607,122 6,803,561 20,410,684 10,205,342 5,102,671 15,308,014 7,654,007 22,962,022 11,481,011 34,443,034 17,221,517 51,664,552 25,832,276 12,916,138 6,458,069 19,374,208 9,687,104 4,843,552 2,421,776 1,210,888 605,444 302,722 151,361 454,084 227,042 113,521 340,564 170,282 85,141 255,424 127,712 63,856 31,928 15,964 7,982

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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