λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,152,200
1,152,200
23 × 52 × 7 × 823
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,065,280
Proper Divisor Sum 1,913,080
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #1152187 ← → #1152227

Radix Representation

Decimal 1152200
Binary 100011001010011001000 (21 bits)
Octal 0o4312310
Hexadecimal 0x1194C8

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 823 1,400 1,646 3,292 4,115 5,761 6,584 8,230 11,522 16,460 20,575 23,044 28,805 32,920 41,150 46,088 57,610 82,300 115,220 144,025 164,600 230,440 288,050 576,100 1,152,200

Collatz Trajectory (85 steps to reach 1)

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

1,152,200 576,100 288,050 144,025 432,076 216,038 108,019 324,058 162,029 486,088 243,044 121,522 60,761 182,284 91,142 45,571 136,714 68,357 205,072 102,536 51,268 25,634 12,817 38,452 19,226 9,613 28,840 14,420 7,210 3,605 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

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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