λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,468,630
3,468,630
2 × 3 × 5 × 11 × 23 × 457
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 23 × 457
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,497,088
Proper Divisor Sum 6,028,458
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3468613 ← → #3468631

Radix Representation

Decimal 3468630
Binary 1101001110110101010110 (22 bits)
Octal 0o15166526
Hexadecimal 0x34ED56

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 457 506 690 759 914 1,265 1,371 1,518 2,285 2,530 2,742 3,795 4,570 5,027 6,855 7,590 10,054 10,511 13,710 15,081 21,022 25,135 30,162 31,533 50,270 52,555 63,066 75,405 105,110 115,621 150,810 157,665 231,242 315,330 346,863 578,105

Collatz Trajectory (182 steps to reach 1)

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

3,468,630 1,734,315 5,202,946 2,601,473 7,804,420 3,902,210 1,951,105 5,853,316 2,926,658 1,463,329 4,389,988 2,194,994 1,097,497 3,292,492 1,646,246 823,123 2,469,370 1,234,685 3,704,056 1,852,028 926,014 463,007 1,389,022 694,511 2,083,534 1,041,767 3,125,302 1,562,651 4,687,954 2,343,977 7,031,932 3,515,966 1,757,983 5,273,950 2,636,975 7,910,926 3,955,463 11,866,390 5,933,195 17,799,586 8,899,793 26,699,380 13,349,690 6,674,845 20,024,536 10,012,268 5,006,134 2,503,067 7,509,202 3,754,601 11,263,804 5,631,902 2,815,951 8,447,854 4,223,927 12,671,782 6,335,891 19,007,674 9,503,837 28,511,512

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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