λ
Ratio Atlas
Atlas › Integer Profiles › Node 673,344
673,344
26 × 32 × 7 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 2,218,944
Proper Divisor Sum 1,545,600
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #673339 ← → #673349

Radix Representation

Decimal 673344
Binary 10100100011001000000 (20 bits)
Octal 0o2443100
Hexadecimal 0xA4640

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 167 168 192 224 252 288 334 336 448 501 504 576 668 672 1,002 1,008 1,169 1,336 1,344 1,503 2,004 2,016 2,338 2,672 3,006 3,507 4,008 4,032 4,676 5,344 6,012 7,014

Collatz Trajectory (110 steps to reach 1)

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

673,344 336,672 168,336 84,168 42,084 21,042 10,521 31,564 15,782 7,891 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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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