λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,679,772
7,679,772
22 × 35 × 7901
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^5 × 7901
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,134,296
Proper Divisor Sum 12,454,524
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7679761 ← → #7679773

Radix Representation

Decimal 7679772
Binary 11101010010111100011100 (23 bits)
Octal 0o35227434
Hexadecimal 0x752F1C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 7,901 15,802 23,703 31,604 47,406 71,109 94,812 142,218 213,327 284,436 426,654 639,981 853,308 1,279,962 1,919,943 2,559,924 3,839,886 7,679,772

Collatz Trajectory (235 steps to reach 1)

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

7,679,772 3,839,886 1,919,943 5,759,830 2,879,915 8,639,746 4,319,873 12,959,620 6,479,810 3,239,905 9,719,716 4,859,858 2,429,929 7,289,788 3,644,894 1,822,447 5,467,342 2,733,671 8,201,014 4,100,507 12,301,522 6,150,761 18,452,284 9,226,142 4,613,071 13,839,214 6,919,607 20,758,822 10,379,411 31,138,234 15,569,117 46,707,352 23,353,676 11,676,838 5,838,419 17,515,258 8,757,629 26,272,888 13,136,444 6,568,222 3,284,111 9,852,334 4,926,167 14,778,502 7,389,251 22,167,754 11,083,877 33,251,632 16,625,816 8,312,908 4,156,454 2,078,227 6,234,682 3,117,341 9,352,024 4,676,012 2,338,006 1,169,003 3,507,010 1,753,505

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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