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Ratio Atlas
Atlas › Integer Profiles › Node 456,960
456,960
28 × 3 × 5 × 7 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 5 × 7 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,766,016
Proper Divisor Sum 1,309,056
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #456959 ← → #456979

Radix Representation

Decimal 456960
Binary 1101111100100000000 (19 bits)
Octal 0o1574400
Hexadecimal 0x6F900

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 204 210 224 238 240 255 256 272 280 320 336 340 357

Collatz Trajectory (37 steps to reach 1)

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

456,960 228,480 114,240 57,120 28,560 14,280 7,140 3,570 1,785 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 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 #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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