λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,000,400
6,000,400
24 × 52 × 7 × 2143
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 16,483,072
Proper Divisor Sum 10,482,672
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #6000389 ← → #6000403

Radix Representation

Decimal 6000400
Binary 10110111000111100010000 (23 bits)
Octal 0o26707420
Hexadecimal 0x5B8F10

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,400 2,143 2,800 4,286 8,572 10,715 15,001 17,144 21,430 30,002 34,288 42,860 53,575 60,004 75,005 85,720 107,150 120,008 150,010 171,440 214,300 240,016 300,020 375,025 428,600 600,040 750,050 857,200 1,200,080 1,500,100 3,000,200 6,000,400

Collatz Trajectory (152 steps to reach 1)

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

6,000,400 3,000,200 1,500,100 750,050 375,025 1,125,076 562,538 281,269 843,808 421,904 210,952 105,476 52,738 26,369 79,108 39,554 19,777 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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