λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,744,656
4,744,656
24 × 34 × 7 × 523
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^4 × 7 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 15,724,192
Proper Divisor Sum 10,979,536
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4744639 ← → #4744657

Radix Representation

Decimal 4744656
Binary 10010000110010111010000 (23 bits)
Octal 0o22062720
Hexadecimal 0x4865D0

Divisor Catalog (60 of 100)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 523 567 648 756 1,008 1,046 1,134 1,296 1,512 1,569 2,092 2,268 3,024 3,138 3,661 4,184 4,536 4,707 6,276 7,322 8,368

Collatz Trajectory (56 steps to reach 1)

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

4,744,656 2,372,328 1,186,164 593,082 296,541 889,624 444,812 222,406 111,203 333,610 166,805 500,416 250,208 125,104 62,552 31,276 15,638 7,819 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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