λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,515,876
3,515,876
22 × 7 × 132 × 743
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 13^2 × 743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,624,512
Proper Divisor Sum 4,108,636
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3515867 ← → #3515891

Radix Representation

Decimal 3515876
Binary 1101011010010111100100 (22 bits)
Octal 0o15322744
Hexadecimal 0x35A5E4

Divisor Catalog (36)

1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 743 1,183 1,486 2,366 2,972 4,732 5,201 9,659 10,402 19,318 20,804 38,636 67,613 125,567 135,226 251,134 270,452 502,268 878,969 1,757,938 3,515,876

Collatz Trajectory (177 steps to reach 1)

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

3,515,876 1,757,938 878,969 2,636,908 1,318,454 659,227 1,977,682 988,841 2,966,524 1,483,262 741,631 2,224,894 1,112,447 3,337,342 1,668,671 5,006,014 2,503,007 7,509,022 3,754,511 11,263,534 5,631,767 16,895,302 8,447,651 25,342,954 12,671,477 38,014,432 19,007,216 9,503,608 4,751,804 2,375,902 1,187,951 3,563,854 1,781,927 5,345,782 2,672,891 8,018,674 4,009,337 12,028,012 6,014,006 3,007,003 9,021,010 4,510,505 13,531,516 6,765,758 3,382,879 10,148,638 5,074,319 15,222,958 7,611,479 22,834,438 11,417,219 34,251,658 17,125,829 51,377,488 25,688,744 12,844,372 6,422,186 3,211,093 9,633,280 4,816,640

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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