λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,467,720
45,467,720
23 × 5 × 349 × 3257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 349 × 3257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,627,000
Proper Divisor Sum 57,159,280
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #45467713 ← → #45467749

Radix Representation

Decimal 45467720
Binary 10101101011100100001001000 (26 bits)
Octal 0o255344110
Hexadecimal 0x2B5C848

Divisor Catalog (32)

1 2 4 5 8 10 20 40 349 698 1,396 1,745 2,792 3,257 3,490 6,514 6,980 13,028 13,960 16,285 26,056 32,570 65,140 130,280 1,136,693 2,273,386 4,546,772 5,683,465 9,093,544 11,366,930 22,733,860 45,467,720

Collatz Trajectory (173 steps to reach 1)

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

45,467,720 22,733,860 11,366,930 5,683,465 17,050,396 8,525,198 4,262,599 12,787,798 6,393,899 19,181,698 9,590,849 28,772,548 14,386,274 7,193,137 21,579,412 10,789,706 5,394,853 16,184,560 8,092,280 4,046,140 2,023,070 1,011,535 3,034,606 1,517,303 4,551,910 2,275,955 6,827,866 3,413,933 10,241,800 5,120,900 2,560,450 1,280,225 3,840,676 1,920,338 960,169 2,880,508 1,440,254 720,127 2,160,382 1,080,191 3,240,574 1,620,287 4,860,862 2,430,431 7,291,294 3,645,647 10,936,942 5,468,471 16,405,414 8,202,707 24,608,122 12,304,061 36,912,184 18,456,092 9,228,046 4,614,023 13,842,070 6,921,035 20,763,106 10,381,553

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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