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Ratio Atlas
Atlas › Integer Profiles › Node 7,601,975
7,601,975
52 × 17 × 31 × 577
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 17 × 31 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,320,768
Proper Divisor Sum 2,718,793
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7601963 ← → #7601989

Radix Representation

Decimal 7601975
Binary 11100111111111100110111 (23 bits)
Octal 0o34777467
Hexadecimal 0x73FF37

Divisor Catalog (24)

1 5 17 25 31 85 155 425 527 577 775 2,635 2,885 9,809 13,175 14,425 17,887 49,045 89,435 245,225 304,079 447,175 1,520,395 7,601,975

Collatz Trajectory (103 steps to reach 1)

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

7,601,975 22,805,926 11,402,963 34,208,890 17,104,445 51,313,336 25,656,668 12,828,334 6,414,167 19,242,502 9,621,251 28,863,754 14,431,877 43,295,632 21,647,816 10,823,908 5,411,954 2,705,977 8,117,932 4,058,966 2,029,483 6,088,450 3,044,225 9,132,676 4,566,338 2,283,169 6,849,508 3,424,754 1,712,377 5,137,132 2,568,566 1,284,283 3,852,850 1,926,425 5,779,276 2,889,638 1,444,819 4,334,458 2,167,229 6,501,688 3,250,844 1,625,422 812,711 2,438,134 1,219,067 3,657,202 1,828,601 5,485,804 2,742,902 1,371,451 4,114,354 2,057,177 6,171,532 3,085,766 1,542,883 4,628,650 2,314,325 6,942,976 3,471,488 1,735,744

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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