λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,001,071
18,001,071
32 × 11 × 349 × 521
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 349 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 28,501,200
Proper Divisor Sum 10,500,129
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #18001069 ← → #18001073

Radix Representation

Decimal 18001071
Binary 1000100101010110010101111 (25 bits)
Octal 0o104526257
Hexadecimal 0x112ACAF

Divisor Catalog (24)

1 3 9 11 33 99 349 521 1,047 1,563 3,141 3,839 4,689 5,731 11,517 17,193 34,551 51,579 181,829 545,487 1,636,461 2,000,119 6,000,357 18,001,071

Collatz Trajectory (257 steps to reach 1)

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

18,001,071 54,003,214 27,001,607 81,004,822 40,502,411 121,507,234 60,753,617 182,260,852 91,130,426 45,565,213 136,695,640 68,347,820 34,173,910 17,086,955 51,260,866 25,630,433 76,891,300 38,445,650 19,222,825 57,668,476 28,834,238 14,417,119 43,251,358 21,625,679 64,877,038 32,438,519 97,315,558 48,657,779 145,973,338 72,986,669 218,960,008 109,480,004 54,740,002 27,370,001 82,110,004 41,055,002 20,527,501 61,582,504 30,791,252 15,395,626 7,697,813 23,093,440 11,546,720 5,773,360 2,886,680 1,443,340 721,670 360,835 1,082,506 541,253 1,623,760 811,880 405,940 202,970 101,485 304,456 152,228 76,114 38,057 114,172

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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