λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,216,320
3,216,320
26 × 5 × 19 × 232
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 19 × 23^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 8,427,720
Proper Divisor Sum 5,211,400
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3216289 ← → #3216331

Radix Representation

Decimal 3216320
Binary 1100010001001111000000 (22 bits)
Octal 0o14211700
Hexadecimal 0x3113C0

Divisor Catalog (60 of 84)

1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 152 160 184 190 230 304 320 368 380 437 460 529 608 736 760 874 920 1,058 1,216 1,472 1,520 1,748 1,840 2,116 2,185 2,645 3,040 3,496 3,680 4,232 4,370 5,290 6,080 6,992 7,360 8,464 8,740 10,051 10,580 13,984

Collatz Trajectory (71 steps to reach 1)

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

3,216,320 1,608,160 804,080 402,040 201,020 100,510 50,255 150,766 75,383 226,150 113,075 339,226 169,613 508,840 254,420 127,210 63,605 190,816 95,408 47,704 23,852 11,926 5,963 17,890 8,945 26,836 13,418 6,709 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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