λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,018,331
2,018,331
33 × 7 × 59 × 181
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 59 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,494,400
Proper Divisor Sum 1,476,069
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2018309 ← → #2018333

Radix Representation

Decimal 2018331
Binary 111101100110000011011 (21 bits)
Octal 0o7546033
Hexadecimal 0x1ECC1B

Divisor Catalog (32)

1 3 7 9 21 27 59 63 177 181 189 413 531 543 1,239 1,267 1,593 1,629 3,717 3,801 4,887 10,679 11,151 11,403 32,037 34,209 74,753 96,111 224,259 288,333 672,777 2,018,331

Collatz Trajectory (352 steps to reach 1)

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

2,018,331 6,054,994 3,027,497 9,082,492 4,541,246 2,270,623 6,811,870 3,405,935 10,217,806 5,108,903 15,326,710 7,663,355 22,990,066 11,495,033 34,485,100 17,242,550 8,621,275 25,863,826 12,931,913 38,795,740 19,397,870 9,698,935 29,096,806 14,548,403 43,645,210 21,822,605 65,467,816 32,733,908 16,366,954 8,183,477 24,550,432 12,275,216 6,137,608 3,068,804 1,534,402 767,201 2,301,604 1,150,802 575,401 1,726,204 863,102 431,551 1,294,654 647,327 1,941,982 970,991 2,912,974 1,456,487 4,369,462 2,184,731 6,554,194 3,277,097 9,831,292 4,915,646 2,457,823 7,373,470 3,686,735 11,060,206 5,530,103 16,590,310

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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