λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,973,006
29,973,006
2 × 32 × 72 × 17 × 1999
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 17 × 1999
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 80,028,000
Proper Divisor Sum 50,054,994
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #29972977 ← → #29973011

Radix Representation

Decimal 29973006
Binary 1110010010101101000001110 (25 bits)
Octal 0o162255016
Hexadecimal 0x1C95A0E

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1,071 1,666 1,999 2,142 2,499 3,998 4,998 5,997 7,497 11,994 13,993 14,994 17,991 27,986 33,983 35,982 41,979 67,966 83,958 97,951 101,949 125,937 195,902 203,898 237,881 251,874 293,853 305,847 475,762 587,706 611,694

Collatz Trajectory (144 steps to reach 1)

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

29,973,006 14,986,503 44,959,510 22,479,755 67,439,266 33,719,633 101,158,900 50,579,450 25,289,725 75,869,176 37,934,588 18,967,294 9,483,647 28,450,942 14,225,471 42,676,414 21,338,207 64,014,622 32,007,311 96,021,934 48,010,967 144,032,902 72,016,451 216,049,354 108,024,677 324,074,032 162,037,016 81,018,508 40,509,254 20,254,627 60,763,882 30,381,941 91,145,824 45,572,912 22,786,456 11,393,228 5,696,614 2,848,307 8,544,922 4,272,461 12,817,384 6,408,692 3,204,346 1,602,173 4,806,520 2,403,260 1,201,630 600,815 1,802,446 901,223 2,703,670 1,351,835 4,055,506 2,027,753 6,083,260 3,041,630 1,520,815 4,562,446 2,281,223 6,843,670

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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