λ
Ratio Atlas
Atlas › Integer Profiles › Node 646,272
646,272
27 × 33 × 11 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^3 × 11 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 2,203,200
Proper Divisor Sum 1,556,928
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #646271 ← → #646273

Radix Representation

Decimal 646272
Binary 10011101110010000000 (20 bits)
Octal 0o2356200
Hexadecimal 0x9DC80

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 64 66 68 72 88 96 99 102 108 128 132 136 144 153 176 187 192 198 204 216 264 272 288 297 306 352 374 384 396 408 432 459 528 544 561 576 594

Collatz Trajectory (92 steps to reach 1)

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

646,272 323,136 161,568 80,784 40,392 20,196 10,098 5,049 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784 6,392 3,196 1,598 799 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688

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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