λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,147,136
2,147,136
26 × 3 × 53 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 53 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,815,584
Proper Divisor Sum 3,668,448
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2147107 ← → #2147137

Radix Representation

Decimal 2147136
Binary 1000001100001101000000 (22 bits)
Octal 0o10141500
Hexadecimal 0x20C340

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 211 212 318 422 424 633 636 844 848 1,266 1,272 1,688 1,696 2,532 2,544 3,376 3,392 5,064 5,088 6,752 10,128 10,176 11,183 13,504 20,256 22,366 33,549 40,512 44,732 67,098 89,464 134,196 178,928 268,392 357,856 536,784 715,712 1,073,568 2,147,136

Collatz Trajectory (73 steps to reach 1)

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

2,147,136 1,073,568 536,784 268,392 134,196 67,098 33,549 100,648 50,324 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11

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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