λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,565,002
17,565,002
2 × 7 × 13 × 103 × 937
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 103 × 937
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,777,472
Proper Divisor Sum 15,212,470
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #17564999 ← → #17565007

Radix Representation

Decimal 17565002
Binary 1000011000000010101001010 (25 bits)
Octal 0o103002512
Hexadecimal 0x10C054A

Divisor Catalog (32)

1 2 7 13 14 26 91 103 182 206 721 937 1,339 1,442 1,874 2,678 6,559 9,373 12,181 13,118 18,746 24,362 85,267 96,511 170,534 193,022 675,577 1,254,643 1,351,154 2,509,286 8,782,501 17,565,002

Collatz Trajectory (125 steps to reach 1)

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

17,565,002 8,782,501 26,347,504 13,173,752 6,586,876 3,293,438 1,646,719 4,940,158 2,470,079 7,410,238 3,705,119 11,115,358 5,557,679 16,673,038 8,336,519 25,009,558 12,504,779 37,514,338 18,757,169 56,271,508 28,135,754 14,067,877 42,203,632 21,101,816 10,550,908 5,275,454 2,637,727 7,913,182 3,956,591 11,869,774 5,934,887 17,804,662 8,902,331 26,706,994 13,353,497 40,060,492 20,030,246 10,015,123 30,045,370 15,022,685 45,068,056 22,534,028 11,267,014 5,633,507 16,900,522 8,450,261 25,350,784 12,675,392 6,337,696 3,168,848 1,584,424 792,212 396,106 198,053 594,160 297,080 148,540 74,270 37,135 111,406

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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