λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,752,000
4,752,000
27 × 33 × 53 × 11
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 256
Divisor Sum (σ) 19,094,400
Proper Divisor Sum 14,342,400
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4751951 ← → #4752001

Radix Representation

Decimal 4752000
Binary 10010001000001010000000 (23 bits)
Octal 0o22101200
Hexadecimal 0x488280

Divisor Catalog (60 of 256)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 165 176 180 192 198 200 216 220 225

Collatz Trajectory (69 steps to reach 1)

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

4,752,000 2,376,000 1,188,000 594,000 297,000 148,500 74,250 37,125 111,376 55,688 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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