λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,285,641
7,285,641
3 × 11 × 23 × 29 × 331
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 23 × 29 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,473,920
Proper Divisor Sum 4,188,279
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7285631 ← → #7285643

Radix Representation

Decimal 7285641
Binary 11011110010101110001001 (23 bits)
Octal 0o33625611
Hexadecimal 0x6F2B89

Divisor Catalog (32)

1 3 11 23 29 33 69 87 253 319 331 667 759 957 993 2,001 3,641 7,337 7,613 9,599 10,923 22,011 22,839 28,797 83,743 105,589 220,777 251,229 316,767 662,331 2,428,547 7,285,641

Collatz Trajectory (196 steps to reach 1)

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

7,285,641 21,856,924 10,928,462 5,464,231 16,392,694 8,196,347 24,589,042 12,294,521 36,883,564 18,441,782 9,220,891 27,662,674 13,831,337 41,494,012 20,747,006 10,373,503 31,120,510 15,560,255 46,680,766 23,340,383 70,021,150 35,010,575 105,031,726 52,515,863 157,547,590 78,773,795 236,321,386 118,160,693 354,482,080 177,241,040 88,620,520 44,310,260 22,155,130 11,077,565 33,232,696 16,616,348 8,308,174 4,154,087 12,462,262 6,231,131 18,693,394 9,346,697 28,040,092 14,020,046 7,010,023 21,030,070 10,515,035 31,545,106 15,772,553 47,317,660 23,658,830 11,829,415 35,488,246 17,744,123 53,232,370 26,616,185 79,848,556 39,924,278 19,962,139 59,886,418

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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