λ
Ratio Atlas
Atlas › Integer Profiles › Node 512,640
512,640
27 × 32 × 5 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,790,100
Proper Divisor Sum 1,277,460
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #512621 ← → #512641

Radix Representation

Decimal 512640
Binary 1111101001010000000 (19 bits)
Octal 0o1751200
Hexadecimal 0x7D280

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 89 90 96 120 128 144 160 178 180 192 240 267 288 320 356 360 384 445 480 534 576 640 712 720 801 890 960 1,068 1,152 1,335 1,424 1,440 1,602 1,780 1,920

Collatz Trajectory (151 steps to reach 1)

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

512,640 256,320 128,160 64,080 32,040 16,020 8,010 4,005 12,016 6,008 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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
← Previous Integer #512,639 Browse Full Index Next Integer #512,641 →