λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,991,998
36,991,998
2 × 33 × 317 × 2161
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 317 × 2161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,501,920
Proper Divisor Sum 45,509,922
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #36991991 ← → #36992009

Radix Representation

Decimal 36991998
Binary 10001101000111001111111110 (26 bits)
Octal 0o215071776
Hexadecimal 0x23473FE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 317 634 951 1,902 2,161 2,853 4,322 5,706 6,483 8,559 12,966 17,118 19,449 38,898 58,347 116,694 685,037 1,370,074 2,055,111 4,110,222 6,165,333 12,330,666 18,495,999 36,991,998

Collatz Trajectory (240 steps to reach 1)

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

36,991,998 18,495,999 55,487,998 27,743,999 83,231,998 41,615,999 124,847,998 62,423,999 187,271,998 93,635,999 280,907,998 140,453,999 421,361,998 210,680,999 632,042,998 316,021,499 948,064,498 474,032,249 1,422,096,748 711,048,374 355,524,187 1,066,572,562 533,286,281 1,599,858,844 799,929,422 399,964,711 1,199,894,134 599,947,067 1,799,841,202 899,920,601 2,699,761,804 1,349,880,902 674,940,451 2,024,821,354 1,012,410,677 3,037,232,032 1,518,616,016 759,308,008 379,654,004 189,827,002 94,913,501 284,740,504 142,370,252 71,185,126 35,592,563 106,777,690 53,388,845 160,166,536 80,083,268 40,041,634 20,020,817 60,062,452 30,031,226 15,015,613 45,046,840 22,523,420 11,261,710 5,630,855 16,892,566 8,446,283

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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