λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,100
56,100
22 × 3 × 52 × 11 × 17
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 187,488
Proper Divisor Sum 131,388
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #56099 ← → #56101

Radix Representation

Decimal 56100
Binary 1101101100100100 (16 bits)
Octal 0o155444
Hexadecimal 0xDB24

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1,020 1,100 1,122 1,275 1,650 1,700 1,870 2,244 2,550

Collatz Trajectory (109 steps to reach 1)

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

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 1,276 638 319 958 479 1,438 719 2,158

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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