λ
Ratio Atlas
Atlas › Integer Profiles › Node 277,200
277,200
24 × 32 × 52 × 7 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 7 × 11
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 180
Divisor Sum (σ) 1,199,328
Proper Divisor Sum 922,128
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #277183 ← → #277213

Radix Representation

Decimal 277200
Binary 1000011101011010000 (19 bits)
Octal 0o1035320
Hexadecimal 0x43AD0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 33 35 36 40 42 44 45 48 50 55 56 60 63 66 70 72 75 77 80 84 88 90 99 100 105 110 112 120 126 132 140 144 150 154 165 168 175

Collatz Trajectory (132 steps to reach 1)

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

277,200 138,600 69,300 34,650 17,325 51,976 25,988 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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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