λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,831,710
18,831,710
2 × 5 × 23 × 41 × 1997
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 23 × 41 × 1997
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,251,712
Proper Divisor Sum 17,420,002
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #18831707 ← → #18831713

Radix Representation

Decimal 18831710
Binary 1000111110101100101011110 (25 bits)
Octal 0o107654536
Hexadecimal 0x11F595E

Divisor Catalog (32)

1 2 5 10 23 41 46 82 115 205 230 410 943 1,886 1,997 3,994 4,715 9,430 9,985 19,970 45,931 81,877 91,862 163,754 229,655 409,385 459,310 818,770 1,883,171 3,766,342 9,415,855 18,831,710

Collatz Trajectory (226 steps to reach 1)

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

18,831,710 9,415,855 28,247,566 14,123,783 42,371,350 21,185,675 63,557,026 31,778,513 95,335,540 47,667,770 23,833,885 71,501,656 35,750,828 17,875,414 8,937,707 26,813,122 13,406,561 40,219,684 20,109,842 10,054,921 30,164,764 15,082,382 7,541,191 22,623,574 11,311,787 33,935,362 16,967,681 50,903,044 25,451,522 12,725,761 38,177,284 19,088,642 9,544,321 28,632,964 14,316,482 7,158,241 21,474,724 10,737,362 5,368,681 16,106,044 8,053,022 4,026,511 12,079,534 6,039,767 18,119,302 9,059,651 27,178,954 13,589,477 40,768,432 20,384,216 10,192,108 5,096,054 2,548,027 7,644,082 3,822,041 11,466,124 5,733,062 2,866,531 8,599,594 4,299,797

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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