λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,512,481
6,512,481
34 × 37 × 41 × 53
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 37 × 41 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,428,264
Proper Divisor Sum 3,915,783
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6512477 ← → #6512489

Radix Representation

Decimal 6512481
Binary 11000110101111101100001 (23 bits)
Octal 0o30657541
Hexadecimal 0x635F61

Divisor Catalog (40)

1 3 9 27 37 41 53 81 111 123 159 333 369 477 999 1,107 1,431 1,517 1,961 2,173 2,997 3,321 4,293 4,551 5,883 6,519 13,653 17,649 19,557 40,959 52,947 58,671 80,401 122,877 158,841 176,013 241,203 723,609 2,170,827 6,512,481

Collatz Trajectory (271 steps to reach 1)

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

6,512,481 19,537,444 9,768,722 4,884,361 14,653,084 7,326,542 3,663,271 10,989,814 5,494,907 16,484,722 8,242,361 24,727,084 12,363,542 6,181,771 18,545,314 9,272,657 27,817,972 13,908,986 6,954,493 20,863,480 10,431,740 5,215,870 2,607,935 7,823,806 3,911,903 11,735,710 5,867,855 17,603,566 8,801,783 26,405,350 13,202,675 39,608,026 19,804,013 59,412,040 29,706,020 14,853,010 7,426,505 22,279,516 11,139,758 5,569,879 16,709,638 8,354,819 25,064,458 12,532,229 37,596,688 18,798,344 9,399,172 4,699,586 2,349,793 7,049,380 3,524,690 1,762,345 5,287,036 2,643,518 1,321,759 3,965,278 1,982,639 5,947,918 2,973,959 8,921,878

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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