λ
Ratio Atlas
Atlas › Integer Profiles › Node 463,680
463,680
26 × 32 × 5 × 7 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 7 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 1,901,952
Proper Divisor Sum 1,438,272
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #463679 ← → #463693

Radix Representation

Decimal 463680
Binary 1110001001101000000 (19 bits)
Octal 0o1611500
Hexadecimal 0x71340

Divisor Catalog (60 of 168)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 28 30 32 35 36 40 42 45 46 48 56 60 63 64 69 70 72 80 84 90 92 96 105 112 115 120 126 138 140 144 160 161 168 180 184 192 207 210 224 230 240

Collatz Trajectory (76 steps to reach 1)

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

463,680 231,840 115,920 57,960 28,980 14,490 7,245 21,736 10,868 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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