λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,199,738
7,199,738
2 × 7 × 132 × 17 × 179
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 17 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,230,080
Proper Divisor Sum 7,030,342
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7199737 ← → #7199747

Radix Representation

Decimal 7199738
Binary 11011011101101111111010 (23 bits)
Octal 0o33355772
Hexadecimal 0x6DDBFA

Divisor Catalog (48)

1 2 7 13 14 17 26 34 91 119 169 179 182 221 238 338 358 442 1,183 1,253 1,547 2,327 2,366 2,506 2,873 3,043 3,094 4,654 5,746 6,086 16,289 20,111 21,301 30,251 32,578 39,559 40,222 42,602 60,502 79,118 211,757 276,913 423,514 514,267 553,826 1,028,534 3,599,869 7,199,738

Collatz Trajectory (142 steps to reach 1)

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

7,199,738 3,599,869 10,799,608 5,399,804 2,699,902 1,349,951 4,049,854 2,024,927 6,074,782 3,037,391 9,112,174 4,556,087 13,668,262 6,834,131 20,502,394 10,251,197 30,753,592 15,376,796 7,688,398 3,844,199 11,532,598 5,766,299 17,298,898 8,649,449 25,948,348 12,974,174 6,487,087 19,461,262 9,730,631 29,191,894 14,595,947 43,787,842 21,893,921 65,681,764 32,840,882 16,420,441 49,261,324 24,630,662 12,315,331 36,945,994 18,472,997 55,418,992 27,709,496 13,854,748 6,927,374 3,463,687 10,391,062 5,195,531 15,586,594 7,793,297 23,379,892 11,689,946 5,844,973 17,534,920 8,767,460 4,383,730 2,191,865 6,575,596 3,287,798 1,643,899

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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