λ
Ratio Atlas
Atlas › Integer Profiles › Node 897,600
897,600
26 × 3 × 52 × 11 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 11 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 3,401,568
Proper Divisor Sum 2,503,968
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #897593 ← → #897601

Radix Representation

Decimal 897600
Binary 11011011001001000000 (20 bits)
Octal 0o3331100
Hexadecimal 0xDB240

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 64 66 68 75 80 85 88 96 100 102 110 120 132 136 150 160 165 170 176 187 192 200 204 220 240 255 264 272 275 300 320 330

Collatz Trajectory (113 steps to reach 1)

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

897,600 448,800 224,400 112,200 56,100 28,050 14,025 42,076 21,038 10,519 31,558 15,779 47,338 23,669 71,008 35,504 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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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