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Ratio Atlas
Atlas › Integer Profiles › Node 7,523,919
7,523,919
32 × 13 × 107 × 601
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 13 × 107 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,832,912
Proper Divisor Sum 4,308,993
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7523909 ← → #7523927

Radix Representation

Decimal 7523919
Binary 11100101100111001001111 (23 bits)
Octal 0o34547117
Hexadecimal 0x72CE4F

Divisor Catalog (24)

1 3 9 13 39 107 117 321 601 963 1,391 1,803 4,173 5,409 7,813 12,519 23,439 64,307 70,317 192,921 578,763 835,991 2,507,973 7,523,919

Collatz Trajectory (186 steps to reach 1)

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

7,523,919 22,571,758 11,285,879 33,857,638 16,928,819 50,786,458 25,393,229 76,179,688 38,089,844 19,044,922 9,522,461 28,567,384 14,283,692 7,141,846 3,570,923 10,712,770 5,356,385 16,069,156 8,034,578 4,017,289 12,051,868 6,025,934 3,012,967 9,038,902 4,519,451 13,558,354 6,779,177 20,337,532 10,168,766 5,084,383 15,253,150 7,626,575 22,879,726 11,439,863 34,319,590 17,159,795 51,479,386 25,739,693 77,219,080 38,609,540 19,304,770 9,652,385 28,957,156 14,478,578 7,239,289 21,717,868 10,858,934 5,429,467 16,288,402 8,144,201 24,432,604 12,216,302 6,108,151 18,324,454 9,162,227 27,486,682 13,743,341 41,230,024 20,615,012 10,307,506

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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